Solve each system using substitution. Check your answer
x+3=y
3x+4y=7

Answers

Answer 1

Answer:

x = -5/7

y = 16/7

Step-by-step explanation:

3x + 4y = 7

3x + 4(x+3) = 7

3x + 4(x) + 4(3) = 7

3x + 4x + 12 = 7

7x + 12 = 7

7x + 12 - 12 = 7 - 12

7x = -5

7x ÷ 7 = -5 ÷ 7

x = -5/7

---------------------------------------

x + 3 = y

(-5/7) + 3 = y

16/7 = y

-----------------------------------------

3x + 4y = 7

3(-5/7) + 4(16/7) = 7

-15/7 + 64/7 = 7

7 = 7

Answer 2

The required value of the x and y by substitution method is -5/7 and 16/7 respectively.

Given,
System of equation
x+3=y
3x+4y=7

To solve using the substitution method.

What is the equation?

The equation is the values of two functions  that are equal.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)

from equation 1 substitute y in equation 2

3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7

Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.

Learn more about equation here:
https://brainly.com/question/10413253

#SPJ2



Related Questions

Some one help please

Answers

6.5. 10 ............

Find the angle measure that of each missing angle

Answers

Step-by-step explanation:

122+v=180

v=180-122

v=58

w+61=180

w=180-61

w=119

61+58+y=180

119+y=180

y=180-119

y=61

61+x=180

x=180-61

x=119

j=180

Solve 5r + 7s = 15 for s

Answers

Answer:

Here it is:

:P

Answer:

s=15/7 - 5r/7

Step-by-step explanation:

pls help me with this multiple choice ! thank u

Answers

Answer:

The answer will be C x=14 and y=7

Step-by-step explanation:

Hope this HElped

can someone help me find the prerimter of this shape

Answers

Answer:

114

Step-by-step explanation:

If this answer helped you then please mark it as brainliest so I can get to the next rank

Pretty sure it’s 132

The original rectangle is 120 centimeters. Calculate the length of a rectangle that is 72% shorter.
What is the answer​

Answers

Answer:

33.6 cm

Step-by-step explanation:

120 x 0.72 = 86.4

120 - 86.4 = 33.6

The new rectangle which is 72% shorter is 21.6 centimeters.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given The original rectangle is 120 centimeters.

And the new rectangle is 72% shorter or (100 - 72)% = 18% of the original rectangle which is,

= (18/100)×120 centimeters.

= 21.6 centimeters.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

18 decreased 12%
NEED HELP ASAP

Answers

Answer:

17.88

Step-by-step explanation:

18- 12/ 100=

447/24=

then simplify

Answer:

20.16

Step-by-step explanation:- 12% × 18 =

- 12 ÷ 100 × 18 =

- 12 × 18 ÷ 100 =

- 216 ÷ 100 =

- 2.16

Why did the student dislike the average teacher

Answers

Answer:

The teacher disliked her average student because he was like all the other students???

Charlotte invests £5000.
The bank pays 10% interest for the first year and then y% every year after that.
After three years, Charlotte has £5610.55
Calculate y

Answers

Answer:

y = 1%

Step-by-step explanation:

From the formula;

Interest; i = PRT/100

P = £5000

R = 10%

After 1 year, we have;

i = 5000 × 10 × 1/100 = £500

Amount is now; 5000 + 500 = £5500

Since interest rate is now y% every year after the first one, then;

After 2nd year;

i = (5500 × y × 1)/100

i = 55y

So amount is now;

5500 + 55y

After 3rd year, interest is now;

i = (5500 + 55y) × y × 1/100

i = 55 + 0.55y²

Amount is now;

(5500 + 55y) + (55 + 0.55y²)

Since she has £5610.55 after 3 years, then;

(5500 + 55y) + (55 + 0.55y²) = 5610.55

0.55y² + 55y + 5555 - 5610.55 = 0

0.55y² + 55y - 55.55 = 0

From quadratic formula, y = 1%

find an equivalent expression for the given expression: 36x + 24
4 (9x + 8)
12 (3x + 3)
4 (9x + 7)
2 (18x + 12)

Answers

The equivalent expression for the given expression 36x + 24 is 2 (18x + 12). Option D

What are algebraic expressions?

Algebraic expressions are defined as expressions made of mathematical operation like;

MultiplicationAdditionSubtractionDivisionBracketParenthesis, etc

These expressions also consist of terms, coefficients, variables, factors and constants.

What is factorization?

Factorization can be defined as a mathematical method of writing a number or mathematical element as a product of several other factors.

Note also that equivalent expressions have the s

Given the expression;

36x + 24

Factorize common term, we have

2(18x + 12)

Thus, the equivalent expression is 2(18x + 12)

Learn more about equivalent expressions here:

https://brainly.com/question/15775046

#SPJ1

Why is math so hard to learn?​

Answers

Answer:

why does math even exist

Step-by-step explanation:

Because not everyone has the same brain. Some people learn differently, have different focusing levels, some people are mentally ill making it hard asl, they expect us all to be at the same level. It ain’t fair man

- 11x - 19 = - 41
solve for x

Answers

Answer:

-11x -19 = -41

We need to add 19 to both sides then divide to find x.

_____________________

1)) so -11x -19 + 19 = -41 + 19

2)) -11x = -22

3)) -11x/-11 = -22/-11

x = 2

GL!

(side note, i dont usually ask, but it would be great if you could mark me brainliest so I can level up <33)

Answer:

x = 2

Step-by-step explanation:

-11x - 19 = -41

Add 19 to both sides of the equation:

-11x - 19 + 19 = -41 + 19

-11x = -22

Divide both sides by -11

-11x/-11 = -22/-11

x = 2

ngths. Find Complete the fact Triangle. Write
er field. the fact family
70 yd
X,
6
7

Answers

Answer:

1

Step-by-step explanation:

Which equation can be used to solve for the value
of x?

Answers

Answer:

the orange one

Step-by-step explanation:

the bottom angles are gonna be the same and a triangle is 180 degrees total so

Dilate tge solid citcle by a scale factor of?

Answers

Nolur acil lütfen yalvarırım sana da hayırlı

Given the function h(x)=-x^2+x+4, determine the average rate of change of the function over the interval −1≤x≤5.

Answers

Answer:

average rate of change of h(x) on −1 ≤ x ≤ 5 is then 5

Step-by-step explanation:

   

                                            change in h(x)

average rate of change = ------------------------

                                            change in x

Calculate h(x) at the interval endpoints:  -1 ≤ x ≤ 5, and then subtract h(5) from h(-1):

h(5) = (5)² + 5 + 4 = 34

h(-1) = (-1)² -1 + 4 = 4

change in h(x) = 34 - 4 = 30

change in x:  5 - (-1) = 6                                                 30

average rate of change of h(x) on −1≤x≤5 is then  ------------- = 5

                                                                                         6

what is the value of x?

Answers

Answer:

x = 9

Step-by-step explanation:

12^2+x^2 = 15^2

==> x = 9

Answer:

9

Step-by-step explanation:

x = [tex]\sqrt{c^{2} - a^{2} }[/tex]

x = [tex]\sqrt{15^{2} - 12^{2} }[/tex]

x = [tex]\sqrt{225 - 144}[/tex]

x = [tex]\sqrt{81}[/tex]

x = 9

Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter

Answers

Answer:

x = 6

Step-by-step explanation:

sin 30° = 3/x

0.5 = 3/x

.5x = 3

x = 3/.5

x = 6

The indicated side of the right-angled triangle is 6.

What is a right-angled triangle?

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

The triangle is a right-angled triangle.

So, we know,

SinФ = perpendicular / hypotenuse.

And here, perpendicular = 3 unit

And hypotenuse = x unit

Substituting the values,

Sin30° = 3/x

1/2 = 3/x

x = 6

Therefore, the value of x is 6.

To learn more about the right-angled triangle;

brainly.com/question/3772264

#SPJ2

: Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water. ​

Answers

Complete question :

Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water.

​a. Use positive and negative numbers to represent the locations in relation to sea level.

​Scottie =

​Top of the lighthouse =

​The boat =

​The fish =

​b. How far is Scottie from the fish?

meters.

Answer:

Scottie = +30 m

Lighthouse = +45m

Boat = 0

Fish = - 10m

40 m

Step-by-step explanation:

Scottie = 30m ( height of the cliff) since he is standing on it's edge

Top of lighthouse = since, lighthouse is located on top of the cliff ; height of cliff + height of light house = (30 + 15) = 45m

The boat = 0 (on the surface of water) ; this is the sea level surface or point

The fish = - 10 m (10 meters below the water surface).

Distance between scottie and fish :

30 m - ( - 10m)

30m + 10m

= 40 m

subtract the sum of all prime numbers between 10 and 20 from the sum of all composite number between 10 and 20 what is it​

Answers

Answer:

18

Step-by-step explanation:

A pendulum is swinging back and forth. After ttt seconds, the horizontal distance from the bob to the place where it was released is given by \qquad H(t) = 7 - 7 \cos \left(\dfrac{2\pi (t-2)}{20}\right)H(t)=7−7cos( 20 2π(t−2) ​ )H, left parenthesis, t, right parenthesis, equals, 7, minus, 7, cosine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 2, right parenthesis, divided by, 20, end fraction, right parenthesis. How often does the bob cross its midline? Give an exact answer

Answers

Answer:

Every 10 seconds

Step-by-step explanation:

The bob crosses its midline whenever cos(2π(t-2)/20)=0.

Since cosθ=0 when θ=±π/2 + 2πn, we can find then the bob crosses its midline by solving:

2π(t-2)/20 = ±π/2 + 2πn

t-2 = ±5+20n

The solutions are when t = -3, 7, 17, 27, 37, ...

Therefore, the bob passes its midline every 10 seconds.

find the area of the following compound shape. Pleaseeee helppp. Its urgent!! ​

Answers

Answer:

(bd×ac)÷2

108÷2

54cm^2

Step-by-step explanation:

hope u like the ans

Answer:

54cm

Step-by-step explanation:

AC = 9cm

BD = 12 cm

Area of rhombus = 1/2 × AC × BD

= 1/2× 9×12

= 9× 6

= 54 cm

Simplify the following expression.

(9x2 - 2x + 7) + (4x2 + 7x + 2)

A.
13x2 + 5x + 9
B.
5x2 + 5x + 5
C.
13x2 + 9x - 9
D.
13x2 + 9x + 9

Answers

Step-by-step explanation:

(9x2 - 2x +7) +(4x2+7x +2)

9x2 - 2x +7 +4x2 +7x +2

13x2 +5x +9

Answer:

A.  13x2 + 5x + 9

Step-by-step explanation:

use math-way it helps with problems like this

Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is -8, and the mean of the y-coordinates of the points is 10, the line must pass through which of these points?

Answers

Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X

HELP, this is really hard and i’m struggling

Answers

Answer:

B or 2

Step-by-step explanation:

Because 2 and 4 are alternative interior angles that means that they are equal, but on the inside of the traversal (Parallels AB and CD)

Hope this helped :)

Answer:

it should be angle 2 and 4

Step-by-step explanation:

since 2 and 4 are interior angles they are the same and congruent so they have to be equal for the line to be parallel

Find (f x g)(2)? Thanks

Answers

Let me break this up.

Note: (f o g)(2) = f(g(2)).

Note: g(2) = (2, 2) means when x is 2 y is 2.

In other words, g(2) is 2.

We know that f(g(2)) = f(2).

You can see that f(2) = -3. This is given in the point (2, -3).

So, f(g(2)) = -3.

Done.

Peter and Jane have some money in the ratio 1:3
Jane has £12 more than Peter how much money does Peter have?

Answers

Peter=x
Jane=3x
3x-x=12
X=6

Answer:

Peter has 6 dollars.

Step-by-step explanation:

The ratio is 1:3, meaning Jane has 3x more money than Peter. Or, Peter has 1/3 as much money as Jane. You know that Jane has 12 dollars more than Peter so you can think of scenarios. Because it is a 1/3 the answer for Peters money has to be 1/3 of Janes, so Peter has 6 dollars, and Jane has 12 more, so Jane has 18 dollars.

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer: The answer is B.

Step-by-step explanation: This is because the x-axis is days, and the y-axis is pounds. The option B states that Winnie eats 5 pounds of dog food in 2 days, while actually the dog eats 2 pounds of dog food in 5 days.

Answer:

Its B!

Step-by-step explanation:

The X axis represents days and the Y axis represents pounds! 5 is the X axis and 2 is the Y axis! So to make the sentence true, it would be (2,5).

Hope this helps, and don't forget to follow!

What is 18 out of 720 ?
Write as a percent .
Round to the nearest tenth

Answers

Answer:

18/720 =2.5% that is the answer

Answer:

2.5%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

18/720 * 100% = 2.5%

a circle is drawn through (3,2),(-1,-2) and (5,-4).find the:(a) coordinates of the centre of the circle,(b) radius of the circle,(c) equation of the circle,showing
working.​

Answers

Answer:

Step-by-step explanation:

The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...

Other Questions
Nun the same without u, U stoke in my mind. I can't stop think about u. I can't go to sleep. imma wake 24/7 . I'll be call-in my homie to punch me to sleep. That shii hurts. I see ur face on my walls staring at me . Lucid Dreams, Lucid Dreeeaams . My head going crazy. I think I'm going insane. I- I- I can't stop thinking about u. I take pills for this shii. um oh oh ahhaa. I got Draco on my side. Find the value of x.Enter your answer Please help ASAP if you know how. Thanks so much Helppp Ill give brainleist _C6H10+_02->_CO2_H20If 35 grams of cyclohexene(C6H10) and an excess of oxygen(02) combust how many grams of carbon dioxide (CO2) will be formed?2) if an excess of cyclohexene (C6H10) and 45 grams of oxygen(02) combust how many grams of carbon dioxide(CO2) will be formed?_C2H302H+_Al(OH)3->Al(C2H302)3+_H203)first determine the mass of aluminum acetate Al(C2H302)3 that can be made with 125 grams of acetic acid C2H302H4)next determine the mass of aluminum acetate Al(C2H302)3 that can be made with 275 grams of aluminum hydroxide Al(OH)3 Which of the following is an example of static friction A.a pencil rolling on the table B. a dog running in a yard C. a chair sliding on a floor D. a mover pushing on a non moving box Answer please I need to know What is the difference between the Burden of Proof and Preponderance of evidence? what is 3 to the third power + 4 to the 2nd power?? Please help me with my homework! Its past due and I am having trouble on it :/ what are the differences and similarities of theater and cinema 1. Finding a good man is like finding a needle in a haystack.(Meaning: The task at hand is likely to be hard.) Biology comes from bios meaning life and logos meaning study of or? Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! hi, how does developments in transportation lead to interconnectedness between people across the world ? what is the diameter of a pizza that has a radius of 9 Salons were significant in 18th century Europe because:A) They allowed for intellectuals to develop and share ideas.B) monarchs used them to control the nobility.C) that is where children went for their education.D) women placed a high importance on fashion. 5x + 1 = 11What is the first step? HELP HELP HELP DUE IN 12 mins All these answers correct Look at picture Complementary angles