Question

a system of equations is shown below: 2x = 5y 4 3x − 2y = −16 what is the solution to this system of equations? (5 points)

Answer 1

(-8, -4)

I took the test. It was right. Hope this helps!

Answer 2

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).