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4 votes
Solve this system of equations by

using the elimination method.

x + 3y = 9
-2x + 2y = 6

1 Answer

3 votes
2(× + 3y) = 2(9)
1(-2x + 2y) = 1(6)

Simplifying these equations, we get:
2x + 6y = 18
-2x + 2y = 6

Now, let's add the equations together:
(2x + 6y) + (-2x + 2y) = 18 + 6

This simplifies to:
8y = 24

Dividing both sides of the equation by 8, we find:
y = 3

Now, substitute the value of y back into one of the original equations. Let's use the first equation:
X + 3(3) = 9

Simplifying this equation, we get:
X + 9=9

Subtracting 9 from both sides, we find:
×= 0

Therefore, the solution to the system of
equations is x = 0 and y = 3.
User Josh Foskett
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