Mathematics Middle School

4 key facts of write, graph, and solve a system of equations

Answers

Answer 1

Answer:What are the 4 ways to solve a system?

There are a few different methods of solving systems of linear equations:

The Graphing Method . ...

The Substitution Method . ...

The Linear Combination Method , aka The Addition Method , aka The Elimination Method. ...

The Matrix Method .

Step-by-step explanation:

Answer 2

The key facts while writing, graphing and finding solutions to system of equations, we can use the facts given below.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + c[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.

Other possible equations of line are -

(y - y₁) = m(x - x₁)                                 {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)       {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have the system of equations.

Assume the equations to be -

A[1]x + B[1]y + C[1] = 0

A[2]x + B[2]y + C[2] = 0

While writing the equations, express it in slope - intercept form as -

        y = - (A[1]/B[1])x - (C[1]/B[1])

        y = - (A[2]/B[2])x - (C[2]/B[2])

Graphing the equations and the point of intersection of both will be the solution to the system of equations.

Therefore, the key facts while writing, graphing and finding solutions to system of equations, we can use the above facts.

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

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Related Questions

What is the value of 2/3 cubed?
Enter your answer, as a simplified fraction, in the box.

Answers

Answer:

8/12, 10/15,12/18, 14/21, 16/24, 18/27, 20/30

Step-by-step explanation:

The cube of the given number is 8 / 27

What is the cube of a number?

When an integer is multiplied by the same integer three times, the resultant number is known as a cube number. Cube numbers are also known as perfect cubes.

Given that, we need to find the cube of 2/3,

cube of 2/3

= (2/3)³

= 2x2x2 / 3x3x3

= 8 / 27

Hence, the cube of the given number is 8 / 27

Learn more about cubes, click;

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i need help asap thank u

Answers

Answer: 27 and the remainder is 5

1/4 of 12 water bottles =

Answers

12/4 = 3 water bottles

Answer:

1/4 of 12 = 1/4 x 12

"of" means to multiply.

The answer will be 3.

<3

If two lines are parallel, then the same side interior angles are ________.

B. supplementary

A. congruent

Answers

The answer is (A.) congruent

Answer:

The awnser is a. Congruent

Step-by-step explanation:

Determine if the following side lengths would form right triangles, and show your work as proof!

sorry it may be blurry

Answers

Answer:

I'll list them below

Step-by-step explanation:

1. Yes. The shorter sides equal the largest side

2. No. The shorter sides are greater than the largest side

3. No. The shorter sides are greater than the largest side

4. No. The shorter sides are greater than the largest side

In order to figure these out, you have to add the 2 shorter sides. If the sum is equal to the largest side, it is a right triangle. If they are less or greater, it isn't.

It is the right triangle

8 3/5=3/4x−5 1/2 please help !!!

Answers

Answer: 842/15

Step-by-step explanation:

83/5 = 3/4 x- 51/2 2 x= 842/15

x=56.13333

83/5= 3/4 x- 51/2

3/4x- 51/2=83/5

add to 51/2 to both sides

3/4x- 51/2+ 51/2= 83/5 + 51/2

3/4x=421/10

4. 3/4x= 421.4/10 3x= 842/5

3x/3= 842/5/3

answer: x=842/15

hope that help pls make me brainless

842/16 hope this helped

help me pls pls pls pls pls pls

Answers

april starts with 100 and it tells you what alex starts with

Answer: 100 and 125

Step-by-step explanation: Alex starts with 100 and April starts with 125

I WILL GIVE BRAINLIEST Listed in the Item Bank are key terms and expressions, each of wrich is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter.​

Answers

Answer:

1 & 5 = Corresponding

1 & 8 = Alternate Exterior

2 & 6 = Corresponding

2 & 7 = Alternate Exterior

3 & 5 = Alternate Interior

3 & 6 = Consecutive Interior

3 & 8 = Corresponding

4 & 5 = Consecutive Interior

4 & 6 = Alternate Interior

4 & 7 = Corresponding

6.089
x 3.4 give explanation

Answers

Answer:

20.7026

Step-by-step explanation:

Answer:

6.089 x3.4 = 20.7026

Step-by-step explanation:

Using the table shown, choose an equation that expresses the relationship between the number of feet, x, and the number of inches, y.

Answers

Can you show more information please?

Answer:

?

Step-by-step explanation:

There is not enough context. Is there a table?

which equation has the correct sign on the product?

Answers

C. A negative times a negative equals a positive, and 12 times 12 equal 144
c because negative times negative is positive

What is another way to write 54?

5+5+5+5

4+4+4+4+4

5×5×5×5

4×4×4×4×4

Answers

Answer:

Another way to write 54 could be 50 + 4, 1 x 54, 2 x 27, 3 x 18, and 6 x 9.

If u need from those "answer choices" i say none because none of them equal 54.

Answer:

None of the above.

Why?

Because they all are under and over 54.

Complete the conversion 5,450 mL=__ L

Answers

Answer:

5.45 L

Step-by-step explanation:

1 mL= 0.001 L

5450 mL= 5.45 L

Answer:

0,00545L

Step-by-step explanation:

I will give you a decent amount of points if you answer this, just answer the expression

Answers

Answer:

126

Step-by-step explanation:

It tells you that x is 3 so first multiply 7 and 3 you get 21 subtracted by 6 is 15 divided by 3 is 5 plus 4 is 9 you set that aside then focus in the parenthesis 2 time 3 is 6 plus 8 is 14 multiplied by 9 because whatever number is next to the parenthesis without a symbol between it you usually multiply it and you get 12. Hope this helped.

help please............

Answers

Answer:

B. 41

Step-by-step explanation:

[tex]7(4) + 13 \\ 28 + 13 \\ 41[/tex]

Select from the drop-down menus to correctly complete each statement.

The absolute value of 15.3 is the
Choose...
. The absolute value of 15.3 is
Choose...
15.3.

Answers

Answer:

The absolute value of 15.3 is the distance from 15.3 to zero on a number line.

The absolute value of 15.3 is positive.

HELP PLEASE! I DONT GET THIS AND ITS ALSO DUE TOMORROW!!!
Instructions: Write an equation in slope-intercept form when given two pieces of key information about the line.

Please answer each one and explain how you got this.
I will give Brainliest to the best answers and explanations!!!!

Answers

:(( I’m not sure on this one I’m sorry
Slope intercept form is y=mx+b. M is always the slope and b is the y intercept.

Find the area of the shape shown below.

Answers

The area would be 4,800, since 1 x 24 x 25 x 8 = 4,800
4,800 would be the area

....................:)))))

Answers

Answer:

Measure of the smallest angle.

LA= n+18 degrees= 10 degrees+ 18 degrees=  degrees

The answer is 28 degrees

Step-by-step explanation: See answer!^^^

Answer:

The answer is 28 degrees.

Step-by-step explanation:

180 - 112 = 68

4x + x + 18 = 68

5x + 18 = 68

5x = 50

x = 10

x + 10 = 28

Hope this helps!

A bookstore orders 200 books. The books are packaged in boxes that hold 24 books each. All the boxes the bookstore receives are full, except one. How many boxes does the bookstore receive?

(30 points)

Answers

Answer:

The bookstore  receive 9 boxes.

Step-by-step explanation:

Answer:

The book store will receive 9 boxes

Step-by-step explanation:

Hope this helps<3

Add. Write your answer in scientific notation

Answers

Answer:

hope this helps

Step-by-step explanation:

9.704×[tex]10^{8\\}[/tex]

Three pounds of bananas cost $7.
1. What number goes in the missing spot of the first column of the table? If your answer is a decimal, round to the nearest hundredth.
2. What number goes in the missing spot of the second column of the table? If your answer is a decimal, round to the nearest hundredth.
3.Explain the meaning of each of the number goes in the missing spot of the second column of the table? If the answer is a decimal round it to the nearest hundredth.
thanks :)

Answers

Answer: 0 i think...

Step-by-step explanation:

Answer should be 0 if I am correct.

Please help fast!! (35 points)

Answers

6/24 is not simplified 1/4

Chicken is normally $2.15/lb. but if you purchase 26 pounds for $41.34, how much do you save per pound?

A. $0.19
B. $0.26
C. $0.56
D. $0.79

Answers

Answer: C

Step-by-step explanation: If you take $41.34 divided by 26 you get $1.59. Then, take $2.15-$1.59.

The answer is c

Explanation: 41.34 divided by 26 is 1.59 so since we know this next you have to subtract 2.15 by 1.59 then you should get 0.56 as your answer.

29298298 x 292982998 =

Answers

Answer:

85,814,714,842

Step-by-step explanation:

work is shown on the picture above. hope this helps.

Answer:

88,583,903,184,337,404

Step-by-step explanation:

29298298 x 292982998 = 88,583,903,184,337,404

Hoped this helped.

Solve for x in the equation below.

(x – 2) = –14(x – 8)

Select the correct answer.
A. x = 0
B. x = –513
C. x = –315
D. x = 315

Answers

How to solve: (x-2) = -14(x- 8)

X times 2 is 3x so write 3x = -14 + 8x to simple it. Then u to the complete other

-14 minus on both sides then do 3x = 11 then u divide 3 on both sides cross out 3 and 3 and divide 3 by 11 then you’ll get x= 3.6

Answer:

Step-by-step explanation:

First of all, fix the bracket on the R.H.S

x- 2 = -14x + 112

Collect like terms: Bring x to one side and variables to the other side.

x+14x = 112 + 2

15x = 114

Divide both sides by 15

x = 114/15

x = 7.6

Multiply: -2 1/2 x -1 2/3

Answers

Answer:

Step-by-step explanation:

Basically, you just multiply the numerator and the denominator.

-21 x -12/2 x 3

= 252/6

= 42

Answer:

25/6 or 4 1/6

Step-by-step explanation:

Hope this helps!

A cafe made 5 gallons of coffee. The cafe sold 12.2% of their coffee. How many gallons of coffee did the cafe sell? Enter your answer as a decimal in the box. Do not round

Answers

Answer:

they sold 0.61 gallons of coffee

Step-by-step explanation:

Answer:

5 Gallons made & 12.2% sold

12.2% of 5

12.2 * 5 / 100 = 0.61

Step-by-step explanation:

Hope this helps! Shalom

Gino has a contract to work 400 hours for a roofing company. So far, he has
worked 160 hours. What percent of the contract has Gino work.

Answers

Answer:

40%

how i got it: 160/400 *100

Find the percent of change from $15 to $18. Is the change a percent of increase or a percent of decrease?

Answers

Wait i just learned this give me a second
So you start out making $15 an hour. Now you are making $18 an hour. In order to figure it out, divide the increase ($3) by the original amount ($15), then multiply by 100.
So it is a 20 percent
Part 2: INCREASE
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