Question

1. 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. 2) then solve for n. green line length: 2, blue line length: 2n, black line length: 6. equation: n =

Explanation:

Step1: Identify line lengths

Green line length: \( 2 \)
Black line length: \( 6 \)
Blue line length: \( 2n \)

Step2: Write the equation

From the problem: \( 2 = 6 - 2n \)

Step3: Solve for \( n \)

Subtract \( 6 \) from both sides: \( 2 - 6 = -2n \)
Simplify: \( -4 = -2n \)
Divide both sides by \( -2 \): \( n = \frac{-4}{-2} = 2 \)

Answer:

Equation: \( 2 = 6 - 2n \)
\( n = 2 \)