Question

For which value of a will the equation below have an infinite number of solutions? 14-8(2x-3)=a-16x

A. -10
B. 38
C. -18
D. -3

Answer 1

The value of a that will result in an infinite number of solutions is 38.

Step-by-step explanation:

To find the value of a that will result in an infinite number of solutions for the equation 14-8(2x-3)=a-16x, we need to solve the equation and then determine when it simplifies to 0=0.

First, distribute -8 to 2x and -3:

14 - 16x +24 = a - 16x

Combine like terms:

38 = a

Therefore, the value of a that will result in an infinite number of solutions is 38.