Question

A(8x+7)=4x+3.5 are equivalent. What is the value of a

Answer 1

The value of a is 0.5

Explanation:

we have

`a(8x+7)=4x+3.5`

we know that

If the expressions are equivalent, then the right side must be equal to the left side

so

Distributed the left side

`8ax+7a=4x+3.5`

Equate the terms with the variable x

`8ax=4x`

Simplify

`8a=4`

`a=0.5`

Equate the constant terms

`7a=3.5`

`a=0.5`

therefore

The value of a is 0.5