Question

The x-axis ranges from negative 10 to 10 in increments of 1. The y-axis ranges from negative 10 to 10 in increments of 1. The solid line passes through the following plotted points: left parenthesis 4 comma 1 right parenthesis, left parenthesis 2 comma 0 right parenthesis, and left parenthesis 0 comma negative 1 right parenthesis. The dotted line intersects the solid line at left parenthesis 4 comma 1 right parenthesis.


What is the solution of 2x−7=x/2−1
?

Answer 1

Solve 2x − 7 = x/2 − 1.

Multiply both sides by 2: 4x − 14 = x − 2.
Bring terms together: 4x − x = −2 + 14 → 3x = 12.
So x = 4.

(Plugging in gives y = 2(4) − 7 = 1, matching the plotted point (4, 1).)