Question

Solve the system of equations by graphing.
left brace Start 2 By 1 Matrix 1st Row 1st Column y equals 2 x minus 2 2nd Row 1st Column y equals 3 x minus 2 EndMatrix

Question content area bottom left
Part 1
Use the graphing tool to graph the system.

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Question content area right
Part 1
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y

Answer 1

Solve by setting the right sides equal:
2x − 2 = 3x − 2
Subtract 2x: −2 = x − 2
Add 2: x = 0
Then y = 2(0) − 2 = −2.

Solution: (0, −2).

(Geometrically the lines y = 2x − 2 and y = 3x − 2 share the same y‑intercept −2 and meet at that point.)