Question

Solve the following equation for b. 4b + a - 3 = b + 5a

Answer 1

`\large\boxed{b=(4a+3)/(3)}`

Explanation:

`4b+a-3=b+5a\qquad\text{add 3 to both sides}\\\\4b+a-3+3=b+5a+3\\\\4b+a=b+5a+3\qquad\text{subtract}\ a\ \text{from both sides}\\\\4b+a-a=b+5a-a+3\\\\4b=b+4a+3\qquad\text{subtract}\ b\ \text{from both sides}\\\\4b-b=b-b+4a+3\\\\3b=4a+3\qquad\text{divide both sides by 3}\\\\(3b)/(3)=(4a+3)/(3)\\\\\boxed{b=(4a+3)/(3)}`