Question

Solve the system of equations (show ALL work!). What is the value of x?

y = x - 10
5x + y = 32
A. 8
B. 7
C. -2
D. -3
I

Answer 1

B) 7

Explanation:

y = x -10 -------------(I)

5x + y = 32 ----------------(II)

Substitute y = x - 10 in equation (II)

5x + (x - 10) = 32

5x + x - 10 = 32

6x - 10 = 32

Add 10 to both sides

6x - 10 + 10 = 32+10

6x = 42

Divide both sides by 6

x = 42/6

x = 7

Plugin x = 7 in equation (I)

y = 7 - 10

y = -3