Question

which is the solution to 4b + 5 = b + 14? solve the equation for b. b = 3 b = - 3 b = 9 b = 6.5

Explanation:

Step1: Rearrange the equation

We start with \(4b + 5=b + 14\). Subtract \(b\) from both sides: \(4b - b+5=b - b + 14\), which simplifies to \(3b+5 = 14\).

Step2: Isolate the term with \(b\)

Subtract 5 from both sides of \(3b+5 = 14\): \(3b+5 - 5=14 - 5\), resulting in \(3b=9\).

Step3: Solve for \(b\)

Divide both sides of \(3b = 9\) by 3: \(\frac{3b}{3}=\frac{9}{3}\), so \(b = 3\).

Answer:

\(b = 3\)