1. The document contains 8 systems of equations to be solved by graphing. 2. Each system contains 2 equations that are graphed on a coordinate plane to find the point where the lines intersect, which represents the solution to the system. 3. Graphing the systems of equations allows the document to visually demonstrate solving systems of equations geometrically.

1. Kuta Software - Infinite Pre-Algebra Name___________________________________
Solving Systems of Equations by Graphing Date________________ Period____
Solve each system by graphing.
1) y = 5 x − 2 2) y = x + 3
y = −x + 4 1
y=− x−2
4
5
4 5
3 4
2 3
1 2
−5 −4 −3 −2 −1 0 1 2 3 4 5 1
−1
−5 −4 −3 −2 −1 0 1 2 3 4 5
−2 −1
−3 −2
−4 −3
−5 −4
−5
3) y = −4 x + 2 4
4) y = x+3
y = −4 x + 4 3
y = −x − 4
5
4 5
3 4
2 3
1 2
−5 −4 −3 −2 −1 0 1 2 3 4 5 1
−1
−5 −4 −3 −2 −1 0 1 2 3 4 5
−2 −1
−3 −2
−4 −3
−5 −4
−5
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2. 5) y = − x − 4 6) y = 7 x − 4
3 y = 7x + 2
y= x+1
2
5
5 4
4 3
3 2
2 1
1 −5 −4 −3 −2 −1 0 1 2 3 4 5
−1
−5 −4 −3 −2 −1 0 1 2 3 4 5
−1 −2
−2 −3
−3 −4
−4 −5
−5
7 1
7) y = − x + 4 8) y = − x + 2
2 2
7 7
y=− x+2 y=− x−3
2 4
5 5
4 4
3 3
2 2
1 1
−5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 0 1 2 3 4 5
−1 −1
−2 −2
−3 −3
−4 −4
−5 −5
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3. Kuta Software - Infinite Pre-Algebra Name___________________________________
Solving Systems of Equations by Graphing Date________________ Period____
Solve each system by graphing.
1) y = 5 x − 2 2) y = x + 3
y = −x + 4 1
y=− x−2
4
5
4 5
3 4
2 3
1 2
−5 −4 −3 −2 −1 0 1 2 3 4 5 1
−1
−5 −4 −3 −2 −1 0 1 2 3 4 5
−2 −1
−3 −2
−4 −3
−5 −4
−5
(1, 3)
(−4, −1)
3) y = −4 x + 2 4
4) y = x+3
y = −4 x + 4 3
y = −x − 4
5
4 5
3 4
2 3
1 2
−5 −4 −3 −2 −1 0 1 2 3 4 5 1
−1
−5 −4 −3 −2 −1 0 1 2 3 4 5
−2 −1
−3 −2
−4 −3
−5 −4
−5
No solution
(−3, −1)
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4. 5) y = − x − 4 6) y = 7 x − 4
3 y = 7x + 2
y= x+1
2
5
5 4
4 3
3 2
2 1
1 −5 −4 −3 −2 −1 0 1 2 3 4 5
−1
−5 −4 −3 −2 −1 0 1 2 3 4 5
−1 −2
−2 −3
−3 −4
−4 −5
−5
No solution
(−2, −2)
7 1
7) y = − x + 4 8) y = − x + 2
2 2
7 7
y=− x+2 y=− x−3
2 4
5 5
4 4
3 3
2 2
1 1
−5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 0 1 2 3 4 5
−1 −1
−2 −2
−3 −3
−4 −4
−5 −5
No solution (−4, 4)
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