Solving Systems by Elimination

Last updated over 2 years ago

15 questions

Note from the author:

Instructions

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Library

Solving Systems by Elimination

Last updated over 2 years ago

15 questions

Note from the author:

Solving systems of equations with addition and subtraction. 

Instructions

Write all solutions to systems of equations as an ordered pair (x,y)

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Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+9y=28 -4x-y=-28

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Solve by elimination. Write the answer as an ordered pair
(Show all work)

7x+y=-9
-3x-y=5

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1

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Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+4y=4 3x+4y=10

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Identify the solution to this system of equations

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Solve by elimination. Write the answer as an ordered pair
(Show all work)

-x+2y=17 2x+2y=-10

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Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x + y = –14
–2x – y = 9

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1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

x + 4y = –3 x + 7y = –12

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1

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Solve by elimination. Write the answer as an ordered pair
(Show all work)
-x+2y=17
2x+2y=-10

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1

Solving systems of equations with addition and subtraction. 

Write all solutions to systems of equations as an ordered pair (x,y)

What variable do you eliminate?

4x + 8y = 20
−4x + 2y = −30

y  because they have opposite signs

x  because they have opposite signs

Put the steps for solving by ELIMINATION in order:

Make sure the equations are lined up
Subtract the equations to eliminate one variable
Solve for the remaining variable
Plug that number into either original equation and solve for the other variable

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+9y=28 -4x-y=-28

Solve by elimination. Write the answer as an ordered pair
(Show all work)

7x+y=-9
-3x-y=5

What would be the first step in finding the solution with elimination?
4x + 3y = 1
x - 3y = -11

add 1 and -11

change all the signs of the second equation

cross out the 4x and x

cross out the 3y and -3y

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+4y=4 3x+4y=10

Identify the solution to this system of equations

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x+7y=23
-3x-7y=-17

(3,3)

(0,3)

(-3,3)

No solution

Solve by elimination. Write the answer as an ordered pair
(Show all work)

-x+2y=17 2x+2y=-10

How many solutions does the following equation have? 3x − 3 = −3 + 3x

One solution

All solutions

No solutions

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x + y = –14
–2x – y = 9

Solve by elimination. Write the answer as an ordered pair
(Show all work)

x + 4y = –3 x + 7y = –12

What is the slope and the y intercept of the following?

Slope = 3
y-intercept = 9

slope = 3
y-intercept = -9

slope = -9
y-intercept = 3

slope = 9
y-intercept = -3

Solve by elimination. Write the answer as an ordered pair
(Show all work)
-x+2y=17
2x+2y=-10

A system of two parallel lines will have how many solutions?

All solutions

Two Solution

 One solution

No solution

What variable do you eliminate?

4x + 8y = 20
−4x + 2y = −30

y  because they have opposite signs

x  because they have opposite signs

Put the steps for solving by ELIMINATION in order:

Make sure the equations are lined up

Subtract the equations to eliminate one variable

Solve for the remaining variable

Plug that number into either original equation and solve for the other variable

What would be the first step in finding the solution with elimination?
4x + 3y = 1
x - 3y = -11

add 1 and -11

change all the signs of the second equation

cross out the 4x and x

cross out the 3y and -3y

Solve by elimination. Write the answer as an ordered pair
(Show all work) 

3x+7y=23
-3x-7y=-17

(3,3)

(0,3)

(-3,3)

No solution

How many solutions does the following equation have?
3x − 3 = −3 + 3x

One solution

All solutions

No solutions

What is the slope and the y intercept of the following?

Slope = 3
y-intercept = 9

slope = 3
y-intercept = -9

slope = -9
y-intercept = 3

slope = 9
y-intercept = -3

A system of two parallel lines will have how many solutions?

All solutions

Two Solution

 One solution

No solution

Solving Systems by Elimination

Solving Systems by Elimination

Solve by elimination. Write the answer as an ordered pair(Show all work) 4x+9y=28 -4x-y=-28

4x+9y=28 -4x-y=-28

Solve by elimination. Write the answer as an ordered pair(Show all work) 7x+y=-9-3x-y=5

7x+y=-9

-3x-y=5

Solve by elimination. Write the answer as an ordered pair(Show all work) 4x+4y=4 3x+4y=10

4x+4y=4 3x+4y=10

Identify the solution to this system of equations

Solve by elimination. Write the answer as an ordered pair(Show all work)-x+2y=17 2x+2y=-10

-x+2y=17 2x+2y=-10

Solve by elimination. Write the answer as an ordered pair(Show all work)3x + y = –14–2x – y = 9

3x + y = –14

–2x – y = 9

Solve by elimination. Write the answer as an ordered pair(Show all work)x + 4y = –3 x + 7y = –12

x + 4y = –3 x + 7y = –12

Solve by elimination. Write the answer as an ordered pair(Show all work)-x+2y=172x+2y=-10

-x+2y=17

2x+2y=-10

What variable do you eliminate?4x + 8y = 20−4x + 2y = −30

Put the steps for solving by ELIMINATION in order:

Solve by elimination. Write the answer as an ordered pair(Show all work) 4x+9y=28 -4x-y=-28

4x+9y=28 -4x-y=-28

Solve by elimination. Write the answer as an ordered pair(Show all work) 7x+y=-9-3x-y=5

7x+y=-9

-3x-y=5

What would be the first step in finding the solution with elimination?4x + 3y = 1x - 3y = -11

4x + 3y = 1

x - 3y = -11

Solve by elimination. Write the answer as an ordered pair(Show all work) 4x+4y=4 3x+4y=10

4x+4y=4 3x+4y=10

Identify the solution to this system of equations

Solve by elimination. Write the answer as an ordered pair(Show all work) 3x+7y=23-3x-7y=-17

3x+7y=23

-3x-7y=-17

Solve by elimination. Write the answer as an ordered pair(Show all work)-x+2y=17 2x+2y=-10

-x+2y=17 2x+2y=-10

How many solutions does the following equation have? 3x − 3 = −3 + 3x

Solve by elimination. Write the answer as an ordered pair(Show all work)3x + y = –14–2x – y = 9

3x + y = –14

–2x – y = 9

Solve by elimination. Write the answer as an ordered pair(Show all work)x + 4y = –3 x + 7y = –12

x + 4y = –3 x + 7y = –12

What is the slope and the y intercept of the following?

Solve by elimination. Write the answer as an ordered pair(Show all work)-x+2y=172x+2y=-10

-x+2y=17

2x+2y=-10

A system of two parallel lines will have how many solutions?

4x + 3y = 1

x - 3y = -11

3x+7y=23

-3x-7y=-17

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+9y=28 -4x-y=-28

Solve by elimination. Write the answer as an ordered pair
(Show all work)

7x+y=-9
-3x-y=5

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+4y=4 3x+4y=10

Solve by elimination. Write the answer as an ordered pair
(Show all work)

-x+2y=17 2x+2y=-10

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x + y = –14
–2x – y = 9

Solve by elimination. Write the answer as an ordered pair
(Show all work)

x + 4y = –3 x + 7y = –12

Solve by elimination. Write the answer as an ordered pair
(Show all work)
-x+2y=17
2x+2y=-10

What variable do you eliminate?

4x + 8y = 20
−4x + 2y = −30

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+9y=28 -4x-y=-28

Solve by elimination. Write the answer as an ordered pair
(Show all work)

7x+y=-9
-3x-y=5

What would be the first step in finding the solution with elimination?
4x + 3y = 1
x - 3y = -11

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+4y=4 3x+4y=10

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x+7y=23
-3x-7y=-17

Solve by elimination. Write the answer as an ordered pair
(Show all work)

-x+2y=17 2x+2y=-10

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x + y = –14
–2x – y = 9

Solve by elimination. Write the answer as an ordered pair
(Show all work)

x + 4y = –3 x + 7y = –12

Solve by elimination. Write the answer as an ordered pair
(Show all work)
-x+2y=17
2x+2y=-10