Answer:
[tex]a=6[/tex]
Step-by-step explanation:
Given equation:
[tex]-8+\sqrt{5a-5}=-3[/tex]
Solving for unknown variable [tex]a[/tex]
Adding 8 both sides by additive property of equality.
[tex]+8-8+\sqrt{5a-5}=-3+8[/tex]
[tex]\sqrt{5a-5}=5[/tex]
Squaring both sides to remove the square root.
[tex](\sqrt{5a-5})^2=5^2[/tex]
[tex]5a-5=25[/tex]
Adding 5 both sides by additive property of equality.
[tex]5a-5+5=25+5[/tex]
[tex]5a=30[/tex]
Dividing both sides by 6 to isolate [tex]a[/tex]
[tex]\frac{5a}{5}=\frac{30}{5}[/tex]
∴ [tex]a=6[/tex]
