Question

write an equation that says that the length of the green line is equal to the length of the black line minus the length of the blue line. combine like terms. then solve for m. green line length: 15 blue line length: 7 black line length: m + m equation: m =

Explanation:

Part 1: Writing the Equation

Step1: Identify lengths

Green line: \( 15 \), Black line: \( m + m = 2m \), Blue line: \( 7 \).

Step2: Form equation

Green = Black - Blue: \( 15 = 2m - 7 \).

Step3: Combine like terms (add 7 to both sides)

\( 15 + 7 = 2m \), so \( 22 = 2m \).

Equation:

\( 15 = 2m - 7 \) (or simplified \( 22 = 2m \))

Part 2: Solving for \( m \)

Step1: Start with \( 22 = 2m \)

Step2: Divide both sides by 2

\( \frac{22}{2} = \frac{2m}{2} \)

Step3: Simplify

\( 11 = m \)

Answer:

Equation: \( 15 = 2m - 7 \) (or \( 2m - 7 = 15 \))
\( m = 11 \)