Answer: x = 1, y = -1
Explanation:
To solve this system by elimination, we will set it up so both of the y, or x, variables have opposite coefficients.
3x - 5y = 8
2x+ 3y = -1
3(3x - 5y = 8)
5(2x+ 3y = -1)
9x - 15y = 24
10x + 15y = -5
The 15y and -15y cancel each other out, so we're left with 9x + 10x on the left side and 24 - 5 on the right side of the equation.
19x = 19
x = 19/19
x = 1
Now, we will plug this back into one of the equations to solve for y.
3x - 5y = 8
3(1) - 5y = 8
3 - 5y = 8
-5y = 5
y = -1