Solving Systems of Equations by Graphing

[Pages:7]Worksheet

Name___________________________________

Solving Systems of Equations by Graphing

Date________________

Solve each system by graphing (find the point of intersection of the two lines) .

1) y = 2x - 3 y = -3x + 2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

5 2) y = - x + 1

3 y=- 1x-3

3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

3) y = -x + 1 x = 3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

4) y = 4x + 1 y = x - 2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

?F U2o0v1N0R yKjuztLaO nS7okfqtZwYahrGe2 wLMLFCr.l Y dAclglj Sr1iVgNhTtdsG lrdegsseArOvCewdX.r z 5MkaadLeW Vwjirtbhw LIQnMfGiAnmittzes LAFltgFeXbSrqaV H17.x

1

Worksheet by Kuta Software LLC

1 5) y = - x + 2

3 y = -2x - 3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

4 7) y = x - 3

3 y = 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

1 6) y = - x + 3

4 3 y=- x-2 2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

8) y = -2x - 4 y = 4x + 2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

?c d2k0Y1J0D BKIuQtEaf PS7oBfMtnwua9rXeT OLILJCB.C P eAblUlF RrMiIgShXtDsI OrDeTsLedrgvqeTdj.G K 7MSabdZep Pwdijtkhc zIZnEfLiCnFiAtZeR kAclbgAeYbzrda2 T1U.C

2

Worksheet by Kuta Software LLC

3 9) y = - x + 4

2 3 y= x-2 2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

11) 5x + y = 4 x- y=2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

13) x + y = 3 8x + y = -4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

10) y = 2x - 4 1

y= x+3 4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

12) x - 4y = -4 5x - 4y = 12

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

14) x - y = 2 x = -2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

?k X260U1509 sKyujtzaA rSvoqfWtXwEaArUeS wLELwCj.Q l iAIl5lq irkiSgyhYt7sK hrre6sFeFr9vheodG.e n BMFaJdVe5 LwPistfha 0IHnvfLiUnViYtSeS iAoligBekbMrIak Y18.D

3

Worksheet by Kuta Software LLC

15) 2x + y = 1 2x - y = 3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

17) x + 3 y = -12 5x - 3 y = -6

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

19) x + 2 y = 8 x - 2 y = -4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

16) x - 3y = -6 2x - y = 3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

18) 2x + y = -4 x + 4y = 12

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

20) 2x + 3y = -12 5x - 3y = -9

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

?N W2y0X1I0o nKVuYt7aZ uSJo7f4tKwnaFrzey rLGLoCL.u i vA7lXlH RrAi8gFhntfsY trieXsCeVrFvEexdS.d K DMVazdBeM ZwJiitShN cIFnlfzignui1tleV JAalogWeLbHrOaJ Q1x.R

4

Worksheet by Kuta Software LLC

Solve each system by graphing (find the point of intersection of the two lines).

21) -6x + y = 4 -y - 2x = 4

22) -y - 3 + 4x = 0 -4 = -3x - y

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

23) 0 = -3x - 4 - 2 y 1

2- x=y 2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

24) -2x - y = 1 -6x = 3y + 3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

25) x - 2 y + 8 = 0 -6 - 2y = -x

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

26) -2y - 5x = 2 -5x = 2y - 4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

?W g2j0Q1b0l zKouzt5aL hSYosfPtcwdaSr4eq pLnLrCh.v j mAllAl2 OrRiWgohltJs9 srte0sceor2vverdU.i 6 IMQa0dAeV 0wYiItnhb 4IMnvf7iwnEiztKes CAslSgbeRb1r4ad M13.e

5

Worksheet by Kuta Software LLC

27) 2 y + x - 4 = 0 2y = -x + 4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

29) -2x = -8 - 2 y -2y - 8 = -2x

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

28) -4 = -2y 4 + 6x = -y

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

30) 2y + 4 + 3x = 0 -2y = 8 + 3x

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

1 2 3 4 5

?B M2q05100J YKguZtfa0 0Swoaf6tdwgaqriey CLJL4Cq.S 2 BA3lElK 8r4iagbhDtnsm prXeDsFeSr4vZeddE.X Q GMoaHd5e2 1wNiLtNhs aIlnvfciWnMimtIeN 0AGlqg7eTbIr1aQ q1S.8

6

Worksheet by Kuta Software LLC

Answers to Solving Systems of Equations by Graphing

1) (1, -1)

2) (3, -4)

5) (-3, 3)

6) (-4, 4)

9) (2, 1)

10) (4, 4)

13) (-1, 4)

14) (-2, -4)

17) (-3, -3)

18) (-4, 4)

21) (-1, -2)

22) (1, 1)

24) Infinite number of solutions 25) No solution

27) Infinite number of solutions 28) (-1, 2)

30) No solution

3) (3, -2)

4) (-1, -3)

7) (3, 1)

8) (-1, -2)

11) (1, -1)

12) (4, 2)

15) (1, -1)

16) (3, 3)

19) (2, 3)

20) (-3, -2)

23) (-4, 4)

26) No solution

29) Infinite number of solutions

?Z i2u0F1y0g JKBuUtjaG 3Szovf5t7w7a7rDeI qLVLnCg.7 F WA8lIld wrfivgehktOsK 1rqeksXeUrKvHeMdJ.4 b aMCaqdZeL Cw5i5t3hq wI2nKfMirngiLtDep SANlogcedbXrEah L1V.e

7

Worksheet by Kuta Software LLC

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download