Question

solve for g.
3 = \frac{g + 10}{4}

Explanation:

Step1: Multiply both sides by 4

To eliminate the denominator on the right - hand side, we multiply both sides of the equation \(3=\frac{g + 10}{4}\) by 4. Using the property of equality \(a=b\Rightarrow a\times c=b\times c\) (where \(a = 3\), \(b=\frac{g + 10}{4}\), and \(c = 4\)), we get:
\(3\times4=\frac{g + 10}{4}\times4\)
Simplifying both sides, the left - hand side is \(12\) and the right - hand side simplifies to \(g + 10\) (because \(\frac{g + 10}{4}\times4=g + 10\)). So the equation becomes \(12=g + 10\).

Step2: Subtract 10 from both sides

To solve for \(g\), we use the property of equality \(a=b\Rightarrow a - c=b - c\) (where \(a = g+10\), \(b = 12\), and \(c = 10\)). Subtract 10 from both sides of the equation \(12=g + 10\):
\(12-10=g + 10-10\)
Simplifying both sides, the left - hand side is \(2\) and the right - hand side simplifies to \(g\) (because \(g+10 - 10=g\)). So we get \(g = 2\).

Answer:

\(g = 2\)