Question

Solve the system of linear equations by substitution.

3x - 2y = 11
x + 2y = 9
The solution of the system is

Answer 1

x=5, y=2

Explanation:

1) Subtract 2y from both sides of x+2y to get x=9-2y

2) Substitute x into the first equation to get 3(9-2y)-2y=11

3) Solve for y (y=2)

4) Plug y into either equation: x+2(2)=9 x=5

5) The answer is (5, 2)