Question

the steps in solving 5b - 6 = 24 are: subtract 6 from both sides then divide both sides by 5; add 6 to both sides and multiply both sides by 5; subtract 6 from both sides then multiply both sides by 5; add 6 to both sides and divide both sides by 5

Explanation:

Step1: Isolate the term with the variable

To get rid of the - 6 on the left - hand side of the equation \(5b−6 = 24\), we use the addition property of equality. We add 6 to both sides of the equation. The equation becomes \(5b-6 + 6=24 + 6\), which simplifies to \(5b=30\).

Step2: Solve for the variable

To solve for \(b\), we use the division property of equality. Since \(b\) is multiplied by 5, we divide both sides of the equation \(5b = 30\) by 5. So, \(\frac{5b}{5}=\frac{30}{5}\), and \(b = 6\).

Answer:

Add 6 to both sides and divide both sides by 5