Answer:
The value of a is 0.5
Step-by-step explanation:
we have
[tex]a(8x+7)=4x+3.5[/tex]
we know that
If the expressions are equivalent, then the right side must be equal to the left side
so
Distributed the left side
[tex]8ax+7a=4x+3.5[/tex]
Equate the terms with the variable x
[tex]8ax=4x[/tex]
Simplify
[tex]8a=4[/tex]
[tex]a=0.5[/tex]
Equate the constant terms
[tex]7a=3.5[/tex]
[tex]a=0.5[/tex]
therefore
The value of a is 0.5
