Question

write an equation that says that the length of the green line is equal to the length of the black line. combine like terms. then solve for g. 20 3g 2g equation: g =

Explanation:

Part 1: Writing the Equation

Step1: Analyze the lengths

The green line has length 20. The black line is composed of two segments: \(3g\) and \(2g\). So the total length of the black line is \(3g + 2g\). We set this equal to the length of the green line (20).

Step2: Combine like terms

\(3g + 2g = 5g\), so the equation becomes \(5g = 20\).

Part 2: Solving for \(g\)

Step1: Isolate \(g\)

To solve for \(g\) in the equation \(5g = 20\), we divide both sides of the equation by 5.

Step2: Perform the division

\(\frac{5g}{5}=\frac{20}{5}\), which simplifies to \(g = 4\).

Equation:

\(3g + 2g = 20\) (or \(5g = 20\) after combining like terms)

\(g =\)

\(4\)

Answer:

Step1: Isolate \(g\)

To solve for \(g\) in the equation \(5g = 20\), we divide both sides of the equation by 5.

Step2: Perform the division

\(\frac{5g}{5}=\frac{20}{5}\), which simplifies to \(g = 4\).

Equation:

\(3g + 2g = 20\) (or \(5g = 20\) after combining like terms)

\(g =\)

\(4\)