a system of equations is shown below: 2x = 5y 4 3x − 2y = −16 what is the solution to this system of equations? (5 points)
If you would like to find the solution to the system of equations, you can do this using the following steps:
2x = 5y + 4 ... 2x - 5y = 4 /(-3)
3x - 2y = -16 /2
_____________
-6x + 15y = -12
6x - 4y = -32
_____________
-6x + 15y + 6x - 4y = -12 - 32
11y = -44 /11
y = - 44/11
y = -4
2x = 5y + 4
2x = 5 * (-4) + 4 = -20 + 4 = -16
2x = -16
x = -16/2
x = -8
(x, y) = (-8, -4)
The correct result would be (-8, -4).