Solve the system of equations without graphing. Explain or show your reasoning.

{2y=x−4
{4x+3y=5

Answers

Answer 1

Answer:

(2, -1)

Step-by-step explanation:

We can subtract x from both sides from the first equation, then multiply the first equation by 4, so it's easier to solve later:

-4x+8y = -16

4x+3y = 5

Then, we can add the 2 equations, so the x cancels out:

11y = -11

y=-1

Now, we can plug y as -1 to any of the equations above:

4x+3*(-1)=5

4x=8

x=2

Therefore, the solution to these 2 equations are (2, -1)

Answer 2

The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of equations is given below.

x = 2y + 4             ...1

4x + 3y = 5          ...2

From equations 1 and 2, then we have

4(2y + 4) + 3y = 5

8y + 16 + 3y = 5

11y = - 11

y = -1

Then the value of 'x' is given as,

x = 2 (-1) + 4

x = - 2 + 4

x = 2

The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.

More about the solution of the equation link is given below.

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Related Questions

Brent caught 9 tilapia and 8 catfish. What is equivalent to the ratio of catfish to tilapia?

Answers

Answer:

8:9

Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

I hope this helps plz tell me if its wrong so i can fix it :)

6. A spinner is divided into 8 equals sections and the sections are labeled 1 through 8. What is the probability of a success and a failure for this experiment? P (success) = one-fourth; P (failure) = Seven-eighths P (success) = one-fourth; P (failure) = Three-fourths P (success) = three-fourths; P (failure) = one-fourth P (success) = seven-eighths; P (failure) = One-eighth

Answers

Answer:

P (Success) = 1/8

P (Failure) = 7/8

Step-by-step explanation:

It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

Only one section is considered as success and the remaining seven are failures.

So, the probability of a success is,

P (Success) = 1/8

And the probability of a failure is,

P (Failure) = 7/8

Answer:

a

Step-by-step explanation:

(60)x = 1, what are the possible values of x? Explain your answer.

Answers

Answer:

[tex]\frac{1}{60}[/tex]

Step-by-step explanation:

Problem:

 The possible values of x in the equation (60)x = 1;

Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

       60x  = 1

To solve this, we take the multiplicative inverse of 60;

   the multiplicative inverse of 60 = [tex]\frac{1}{60}[/tex]

   Use this inverse to multiply both sides of the expression;

         [tex]\frac{1}{60}[/tex] [tex]x[/tex]  60x  = 1 x [tex]\frac{1}{60}[/tex]

                   x  = [tex]\frac{1}{60}[/tex]

Given g(x) = 2x - 4, solve for x when g(x) = 0

Answers

Answer:

2

Step-by-step explanation:

2×2=4 4-4=0 so the answer is 2

Answer:

2

Step-by-step explanation:

g(x)=2x-4

x=? when g(x)=0

we know,

g(x)=2x-4

0=2x-4

4=2x

x=4/2

x=2#

Both questions in picture! Will give brainliest!!

Answers

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answerr this. Will also give branliest. helpp

Answers

Answer:

Angles 1 and 9 are corresponding angles

2 and 3 same side interior angles

8 and 12 are OTHER

6 and 12 are alternate interior

1 and 2 are linear pairs

15 and 11 are alternate interior

8 and 9 are same side interior

2 and 4 are corresponding

Step-by-step explanation:

Use the graph!

Brainliest??Hope it helped!

∠1 and ∠9 = Corresponding angles

2 and 3 = Same side interior angles

∠8 and ∠12 = Other

∠6 and ∠12 = Alternate interior angles

∠1 and ∠2 = Lineae pair

∠15 and ∠11 = Alternate interior angles

∠8 and ∠9 = Same side interior angles

∠2 and ∠4 = Corresponding angles

A school has a total enrollment of 800 students. Twenty percent of those students play a sport. How many play a sport?

Answers

Answer:

160

Step-by-step explanation:

... ...... ..

....i

Answer  It should be 40%

If you can walk 3 miles in an hour, how many miles can you walk in 30 minutes, given the
3
same pace?
A. 1 1/6 miles
B. 1 2/3miles
C. 6 2/3miles
D. 1 1/3 miles

Answers

The answer is B.

60 minutes divided by 3 equals 20 minutes.

What fraction is the same as 9/12

Answers

Answer:

3/4

Step-by-step explanation:

If you divide both the numerator and the denominator by 3 you'll get 3 over 4.

for every 5 hours that he works, andre is paid $60.20.
how much is he made in hour 1?
how much did he make in hour 2?
how much did he make in hour 3?
how much did he made in hour 4?
how much did he make in hour 5?

Answers

Answer:

here it is

Step-by-step explanation:

Simply divide 5 INTO 60.20 to get $ per hour.

Another way of saying this is divide $60.20 BY 5.

How to ask someone out ?

Answers

Answer:

There are so many ways! Do want me to help?

Step-by-step explanation:

maybe tell them your feelings first then proceed to ask them out i would ask if they like you back first

1. If f(x) = 6x2 and h(x) = 3x, then (f/h)(x)
A2
B2x
C2x2

Answers

C 2x2 hope that helps

(6x + 7) + (8x-27) how do you solve

Answers

Answer:

x=+17

Step-by-step explanation:

6x+7=8x-27

We move all terms to the left:

6x+7-(8x-27)=0

We get rid of parentheses

6x-8x+27+7=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

solve the system of equations

Answers

Answer:

y = -3 when x = 4

Step-by-step explanation:

2x-4y = 20

x = 4

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

Find the slope of 12,-7 and 2,-2

Answers

Answers: -0.5 m

here you go

need help pease its due at 11;59pm today explian

Answers

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

7x -7 = 6x +11
I forgot how do answer this can you help me ??​

Answers

Move variable to the left hand side and change its sign
Move constant to the right hand side and change its sign
Combine like terms
Then add
The answer is x=18

What is the final cost of a "$29" meal with a %20 tip?

Last one!!

Answers

Answer:

34.8 dollars

Step-by-step explanation:

multiply 29 by 1.2 to get the final answer

At a video arcade, action video games usually cost $12.50. This week, they are on sale for 30% off. What is the sale price of the action video games?

Answers

Answer:

3.75

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation? Using the information from the question above, how many of each color carnation will Mrs. Lovejoy have in each arrangement? **Enter in your answer as a list using commas in the following order "# of red, # of white, # of pink"

Answers

Answer:

36

Step-by-step explanation:

0.00054 - (3.2 x 10-4)
in scientific notation and standard notation​

Answers

Answer:

in scientific notation it is − 32x+4.00054

Step-by-step explanation:

thats all i know

35. You run an accounting business that specializes in auditing (verifying accounting records).

One of your auditors is working on the payroll records for a company with 75 employees. Some are

part-time and some are full-time. After working for three days, your auditor tells you that the audit

is completed for half of the full-time employees, but there are still 50 employee records to audit.

Find out how many of the employees are full time and how many are part-time.

Answers

Answer:

There are 50 full-time and 25 part-time employees in the company.

Step-by-step explanation:

Total number of employee in the company = 75

Employee's records to be audited = 50

Number of audited record = 75 - 50

                                            = 25

Records of employees to be audited = 50

Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2

                                                  = 50

The number of part-time employee's in the company = 75 - 50

                                                  = 25

There are 50 full-time and 25 part-time employees in the company.

The graph shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled. PART A What is the unit rate for each machine? PART B Which machine can fill cartons at a faster rate? How much faster?

Answers

Answer:

A. 25, 22

B. machine 1

How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2

Step-by-step explanation:

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.

The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -

y = [(100 - 50)/(4 - 2)]x

y = 25x

AND

y = 22x describes the rate at which Machine 2 can fill cartons.

So, we can write -

Machine 1's unit rate = 25

Machine 2's unit rate = 22

It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

Therefore,

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

To solve more questions on straight lines, visit the link below-

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[Refer to image for complete question]

If ∠3 and ∠4 are complementary angles, m∠3 = (x+24)°, and m∠4 = x°, then find the measures of ∠3 and ∠4.

Answers

Answer:

[tex]\huge\boxed{3 = 57 \textdegree}[/tex]

[tex]\huge\boxed{4 = 33 \textdegree}[/tex]

Step-by-step explanation:

When two angles are complementary, their angle lengths add up to 90°.

Therefore, we can make the equation

[tex](x+24) + (x) = 90[/tex]

Now we can solve for x.

[tex]2x+24=90[/tex] [tex]2x=66[/tex] [tex]x = 33[/tex]

Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.

We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.

[tex]33+24\\\\57[/tex]

Hope this helped!

37.28 for 2 pair of jeans how much did they cost

Answers

Answer:

One pair of jeans costed 18.64

Step-by-step explanation:

37.28 divided by 2.

Explain! Prize! Thank you!!!!

Answers

Answer:

B.

Step-by-step explanation:

The answer is B since it cost $3 for 5, it would be $6 or double for 10.

Answer:

B. $6

Step-by-step explanation:

3 divided by 5 = 0.6

0.6 multiplied by 10 = $6

(I might be wrong. Sorry if I am. Don't get mad at me)

Hope I helped :)

Please consider Brainliest :)

HELP ASAPPPP
(8x - 14)*
(2x + 4)*

Answers

Answer:

X is 17

Step-by-step explanation:

X is 17 is the answer

HELP ME PLS IT"S DUE TODAY. JUST GIVE ME THE ACTUAL ANSWER IF YOU KNOW IT PLUS ILL GIVE YOU 5 STARS!!!!

Answers

Answer:

the answer is we dont know cuz theres no question

ok then it should be the bag wit 8lb

Answer:

Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).

The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

Answers

Answer:

a. The equation is y = 19 x

b. The height of 13 DVD cases is 247 mm

Step-by-step explanation:

- A proportional relationship is about two quantities vary directly with

each other

- Ex: If y proportion to x, then y is varies directly with x

 That means y ∝ x ⇒ y = k x, where k is the constant of variation

- The height of a stack of DVD case is proportional to the number of

 case in the stack

- That means the height of DVD cases varies with the number of cases

- The height of 6 DVD case is 114 mm

a.

∵ The number of cases = x

∵ The height of the cases = y

∴ y ∝ x

∴ y = k x

- To find k lets use the first information above

∵ y = 114 mm when x = 6

- Substitute these values in the equation above to find k

∵ 114 = 6 k

- Divide both sides by 6

∴ k = 19

- Substitute the value of k in the equation above

∴ y = 19 x

* The equation is y = 19 x

b.

- We need to find the height of 13 DVD cases

∵ y = 19 x

∵ x = 13

- Substitute the value of x in the equation

∴ y = 19 × 13

∴ y = 247 mm

* The height of 13 DVD cases is 247 mm

The height will be 143 mm for a stack of 13 DVD cases.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The overall height of the 8 cases stacked on top of each other is 88 mm.

Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):

⇒ 88/ 8 = 13

⇒ 88 ÷ 8 = 13

Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:

11 × 13= 143

Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.

To learn more about the constant of proportionality here:

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The question seems to be incomplete the correct question would be:

The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

The height of the 8 cases stacked on top of each other is 88 mm.

Evaluate -8a - b if a = 10 and b = 6

Answers

The answer is -86 .....

-86 is the value of -8a-b when a = 10 and b = 6.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is -8a-b

a and b are the variables in the given expression.

Minus is the operator of subtraction in the expression.

The value of a is given as 10 and b is 6.

Now we have to substitute the values of a and b in expression.

-8(10)-6

Eight times of ten is eighty

-80-6

Minus eighty minus six is minus eighty six.

-86

Hence, -86 is the value of -8a-b when a = 10 and b = 6.

To learn more on Expressions click:

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