Question

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

Answer 1

Answer:

$a=6$

Step-by-step explanation:

Given equation:

$-8+\sqrt{5a-5}=-3$

Solving for unknown variable $a$

Adding 8 both sides by additive property of equality.

$+8-8+\sqrt{5a-5}=-3+8$

$\sqrt{5a-5}=5$

Squaring both sides to remove the square root.

$(\sqrt{5a-5})^2=5^2$

$5a-5=25$

Adding 5 both sides by additive property of equality.

$5a-5+5=25+5$

$5a=30$

Dividing both sides by 6 to isolate $a$

$\frac{5a}{5}=\frac{30}{5}$

∴ $a=6$