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Solving Systems by Elimination

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Last updated about 2 years ago
15 questions
Note from the author:
Solving systems of equations with addition and subtraction.
Write all solutions to systems of equations as an ordered pair (x,y)
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Question 1
1.

What variable do you eliminate?

4x + 8y = 20
−4x + 2y = −30

Question 2
2.

Put the steps for solving by ELIMINATION in order:

  1. Plug that number into either original equation and solve for the other variable
  2. Subtract the equations to eliminate one variable
  3. Make sure the equations are lined up
  4. Solve for the remaining variable
Question 3
3.

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

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

Question 4
4.

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

7x+y=-9

-3x-y=5

Question 5
5.

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

Question 6
6.

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

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

Question 7
7.

Identify the solution to this system of equations

Question 8
8.

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

3x+7y=23

-3x-7y=-17

Question 9
9.

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

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


Question 10
10.

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

Question 11
11.

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

3x + y = –14

–2x – y = 9


Question 12
12.

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

x + 4y = –3  x + 7y = –12


Question 13
13.

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

Question 14
14.

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

-x+2y=17

2x+2y=-10


Question 15
15.

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