Question

How to solve -8+squre root (5a-5)=-3

Answer 1

`a=6`

Explanation:

Given equation:

`-8+√(5a-5)=-3`

Solving for unknown variable
`a`

Adding 8 both sides by additive property of equality.

`+8-8+√(5a-5)=-3+8`

`√(5a-5)=5`

Squaring both sides to remove the square root.

`(√(5a-5))^2=5^2`

`5a-5=25`

Adding 5 both sides by additive property of equality.

`5a-5+5=25+5`

`5a=30`

Dividing both sides by 6 to isolate
`a`

`(5a)/(5)=(30)/(5)`

∴
`a=6`