Answer
x = 7
y = -4
Work Step by Step
x + 3y = -5
2x + 2y = 6
To the first equation minus 3y to both sides
x + 3y - 3y = -5 - 3y
x = -5 - 3y
2 ( -5 - 3y ) + 2y = 6 substitude x to the second equation
- 10 - 6y + 2y = 6 simplify
- 10 - 4y = 6
- 10 - 4y + 10 = 6 + 10 add 10 to both sides
- 4y = 16
4y = - 16 multiply by -1 to both sides
$\frac{4y}{4}$ = - $\frac{16}{4}$ divide by 4 to both sides
y = - 4
substitude y for -4 to the first equation
x + 3(-4) = -5
x - 12 = -5
x - 12 + 12 = -5 + 12
x = 7
