Question

1. circle the name of the student who correctly wrote the equation modeled below. then, find the solution to the equation. denny 2x = -8 - x finley 2 = 8 + x gene 2 = -8 - x asia 2x = -6x - 1

Explanation:

Step1: Analyze left - hand side of scale

The left - hand side of the scale has two positive 1 - unit blocks, so it represents 2.

Step2: Analyze right - hand side of scale

The right - hand side has a negative \(x\) block and eight negative 1 - unit blocks, representing \(-x - 8\).

Step3: Set up equation

Since the scale is balanced, the equation is \(2=-8 - x\), so Gene wrote the correct equation.

Step4: Solve the equation \(2=-8 - x\)

Add \(x\) to both sides: \(2 + x=-8\). Then subtract 2 from both sides: \(x=-8 - 2=-10\).

Answer:

The student who correctly wrote the equation is Gene. The solution to the equation \(2=-8 - x\) is \(x = - 10\).