Question

2x = 5y + 8

3x + 2y = 31
Given the above system of equations, what is the value of y?
A. 2
B. 4
C. 6
D. 9​

Answer 1

Y is 2

Explanation:

First, Solve the equation for the variable y

2y = -3x + 31 : y = -3x/2 + 31/2

Plug this in for variable y in the equation:

2x - 5•(-3x/2+31/2) = 8

19x/2 = 171/2

19x = 171

Solve first equation for the variable x

19x = 171

x = 9

now knowing that x=9, you can plug it into either equation to solve for y.

y = -(3/2)(9)+31/2 = 2