Question

1. $\frac{2}{g + 6}=\frac{4}{5g+10}$

Explanation:

Step1: Cross - multiply

$2(5g + 10)=4(g + 6)$

Step2: Expand both sides

$10g+20 = 4g+24$

Step3: Move like terms to one side

$10g - 4g=24 - 20$

Step4: Simplify

$6g = 4$

Step5: Solve for g

$g=\frac{4}{6}=\frac{2}{3}$

Answer:

$g=\frac{2}{3}$