 # Solving System of Equations by Substitution

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

In the Substitution Method, we isolate one of the variables in one of the equations and substitute the results in the other equation. We usually try to choose the equation where the coefficient of a variable is 1 and isolate that variable. This is to avoid dealing with fractions whenever possible.

Look at the lesson on Solving by Substitution if you need to learn how to solve system of equations by substitution.

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.

5y + 4x = 8
y + 5x = 10
Answer: x = , y =

x + y = - 8
x + 3y = - 16
Answer: x = , y =

3y + 5x = - 5
y + 2x = - 1
Answer: x = , y =

y - 5x = 13
y + 2x = 6
Answer: x = , y =

x + y = 13
4x + y = 31
Answer: x = , y =

x + y = 15
5x - y = 39
Answer: x = , y =

3y - x = 22
y + 2x = - 9
Answer: x = , y =

x + 2y = 25
x + 3y = 34
Answer: x = , y =

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

x - y = 6
- x - 2y = 3
Answer: x = , y =

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