1. The document contains 8 systems of equations to be solved by graphing. 2. Each system contains 2 equations with variables x and y. 3. The solutions are found by graphing the lines defined by each equation on a coordinate plane and finding their point(s) of intersection.

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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