Question

b) 3a + 8 = 5a - 6
show your check:
3(7) + 8 = 5(7) - 6

Explanation:

Step1: Solve the equation \(3a + 8 = 5a - 6\)

Subtract \(3a\) from both sides: \(8 = 2a - 6\)
Add 6 to both sides: \(14 = 2a\)
Divide by 2: \(a = 7\)

Step2: Check the solution

Substitute \(a = 7\) into left side: \(3(7)+8 = 21 + 8 = 29\)
Substitute \(a = 7\) into right side: \(5(7)-6 = 35 - 6 = 29\)
Left side equals right side, so the solution is correct.

Answer:

The solution for \(a\) is \(7\), and the check confirms it as both sides equal \(29\) when \(a = 7\).