Question

Prove that each of the expressions below are equivalent by evaluating the expressions given. Given g = 3.

15g-2(2g+6) and 11g-12

Answer 1

Answer with Step-by-step explanation:

We are given that

g=3

`15g-2(2g+6)` and
`11g-12`

We have to prove that two expressions are equivalent by evaluating the expressions given

`15g-2(2g+6)`

Substitute the value of g in the given expression

`=15(3)-2(2(3)+6)`

`=45-2(6+6)`

`=45-2(12)`

`=45-24`

`=21`

`11g-12`

Substitute the value of g in the given expression

`=11(3)-12`

`=33-12`

`=21`

Hence,

15g-2(2g+6) = 11g-12 when g=3