  # Solving System of Equations by Addition

Objective: I know how to solve system of linear equations by addition.

In the Addition Method, the two equations are added together to eliminate one of the variables. We try to get the coefficients of one of the variables to be opposites so that addition will eliminate it.

Look up the lesson on Solving System of Equations by Addition if you need help on solving system of equations.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Solve each equation.

2x + 5y = - 2
- 3x - 5y = 3
Answer: x = , y =

4x - y = 18
- 2x + y = - 8
Answer: x = , y =

- 4x - y = 42
4x + 3y = - 46
Answer: x = , y =

2x + 4y = - 20
- 2x + 5y = - 52
Answer: x = , y =

- 5x - 4y = - 9
5x + 2y = 27
Answer: x = , y =

- 4x - 3y = 6
3x + 3y = - 6
Answer: x = , y =

3x + 2y = 15
- 3x + y = - 24
Answer: x = , y =

- 2x + 2y = 4
2x + 2y = 24
Answer: x = , y =

5x + 2y = 35
- 5x + y = - 20
Answer: x = , y =

- x - 4y = 11
x - 3y = 10
Answer: x = , y =

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