Question

8x+5=bx-7 In the equation shown above, b is a constant. For what value of b does the equation have no solutions?

A: -8
B: -7
C: 5
D: 8

Answer 1

D: 8

Explanation:

8x+5=bx-7

Subtract bx from each side

8x-bx+5=bx-bx-7

8x-bx +5 = 7

Subtract 5 from each side

8x-bx +5-5 = 7-5

8x-bx =2

Factor out the x

(8-b)x =2

When 8-b =0 we have

0=2 which means we have no solutions since this is never true

8-b=0

Add b to each side

8-b+b=0+b

8=b