Question

Graph the system of equations and find the solution. Lesson 5-2
y = 2x − 1
y = __
1
2x + 2

Answer 1

I’ll assume the second equation is y = (1/2)x + 2 (your formatting looked like a 1 over 2 times x plus 2).

Solve by setting the two expressions for y equal:
2x − 1 = (1/2)x + 2
Subtract (1/2)x: (3/2)x − 1 = 2
Add 1: (3/2)x = 3
Multiply by 2/3: x = 2

Then y = 2(2) − 1 = 3. So the solution (intersection) is (2, 3).

How to graph:
- y = 2x − 1: slope 2, y-intercept −1 (plot (0,−1) and rise 2 run 1).
- y = (1/2)x + 2: slope 1/2, y-intercept 2 (plot (0,2) and rise 1 run 2).
They meet at (2,3).

If you meant a different second equation (for example y = 1/(2x+2)), tell me and I’ll redo it.