Answer:
a = 6
Step-by-step explanation:
Given:
[tex]-8 + \sqrt{5a-5} = -3[/tex]
Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.
First step: add 8 to both sides, resulting in:
[tex]\sqrt{5a-5} = 5[/tex]
Second step: Next we need to square both sides, getting us:
[tex]5a - 5 = 25[/tex]
Third step: We now can add 5 to get an isolated monomial:
[tex]5a = 30[/tex]
Fourth Step: Finally, divide by 5 to get:
[tex]a = 6[/tex]
