Question

Anybody have the answer?

Answer 1

a = 10

Explanation:

For the equation to have infinitely many solutions

The terms on both sides must be the same

left side

4(8) + 5x = 32 + 5x

right side

32 +
`(1)/(2)` (ax)

We require the term in x to have the value of 5x , that is

`(1)/(2)` (ax) = 5x

equate
`(1)/(2)` a = 5 ( multiply both sides by 2 to clear the fraction )

2 ×
`(1)/(2)` a = 2 × 5 , then

a = 10