Solving Systems of Equations by Graphing - RPDP

1 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 5. 2) y = - x + 1. y = -3x + 2 3. 1. 5 y=- x-3. 4. 3. 3. 5 2. 4. 1. 3. -5 -4 -3 -2 -1 0 1 2 3 4 5 2. -1. 1. -2. -3 -5 -4 -3 -2 -1 0 1 2 3 4 5. -1. -4. -2. -5. -3. -4. -5. 3) y = -x + 1 4) y = 4x + 1. x=3 y=x-2. 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. F U2o0v1N0R yKjuztLaO nS7okfqtZwYahrGe2 Y dAclglj Sr1iVgNhTtdsG z 5 MkaadLeW Vwjirtbhw LIQnMfGiAnmittzes LAFltgFeXbSrqaV 1 Worksheet by Kuta Software LLC 1 1.

2 5) y = - x + 2 6) y = - x + 3. 3 4. y = -2x - 3 3. y=- x-2. 2. 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. 4 8) y = -2x - 4. 7) y = x - 3. 3 y = 4x + 2. y=1. 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. c d2k0Y1J0D BKIuQtEaf PS7oBfMtnwua9rXe T OLI P eAblUlF RrMiIgShXtDsI K 7 MSabdZep Pwdijt khc zIZnEfLiCnFiAtZeR kAclbgAeYbzrda2 2 Worksheet by Kuta Software LLC 3 10) y = 2x - 4. 9) y = - x + 4. 2 1. y= x+3. 3 4.

3 Y= x-2. 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. 11) 5x + y = 4 12) x - 4y = -4. x- y=2 5x - 4y = 12. 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. 13) x + y = 3 14) x - y = 2. 8x + y = -4 x = -2. 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. k X260U1509 sKyujtzaA rSvoqfWtXwEaArUeS l iAIl5lq irkiSgyhYt7sK n BMFaJdVe5 LwPistfha 0 IHnvfLiUnViYtSeS iAoligBekbMrIak 3 Worksheet by Kuta Software LLC 15) 2x + y = 1 16) x - 3y = -6.

4 2x - y = 3 2x - y = 3. 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. 17) x + 3 y = -12 18) 2x + y = -4. 5x - 3 y = -6 x + 4y = 12. 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. 19) x + 2 y = 8 20) 2x + 3y = -12. x - 2 y = -4 5x - 3y = -9. 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. N W2y0X1I0o nKVuYt7aZ uSJo7f4tKwnaFrzey i vA7lXlH RrAi8gFhntfsY trieXsCeVrFvEexdS.

5 D K DM Va zdBeM ZwJiitShN c IFnlfzignui1tleV JAalogWeLbHrOaJ 4 Worksheet by Kuta Software LLC Solve each system by Graphing (find the point of intersection of the two lines). 21) -6x + y = 4 22) -y - 3 + 4x = 0. - y - 2x = 4 -4 = -3x - y 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. 23) 0 = -3x - 4 - 2 y 24) -2x - y = 1. 1 -6x = 3y + 3. 2- x= y 2. 5 4. 5 3. 4. 2. 3. 1. 2. 1 -5 -4 -3 -2 -1 0 1 2 3 4 5. -1. -5 -4 -3 -2 -1 0 1 2 3 4 5. -2. -1. -3. -2. -4. -3. -5. -4. -5. 25) x - 2 y + 8 = 0 26) -2y - 5x = 2.

6 -6 - 2 y = -x -5x = 2y - 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. W g2j0Q1b0l zKouzt5aL hSYosfPtcwdaSr4eq pLnLr j mAllAl2 OrRiWgohltJ s9 s rte0sc 6 I MQa0dAeV 0wYiItnhb 4 IMnvf7iwnEiztKes CAslSgbeRb1r4ad 5 Worksheet by Kuta Software LLC 27) 2 y + x - 4 = 0 28) -4 = -2y 2 y = -x + 4 4 + 6x = -y 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. 29) -2x = -8 - 2 y 30) 2y + 4 + 3x = 0. -2 y - 8 = -2x -2y = 8 + 3x 5 5.

7 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. B M2q05100J YKguZtfa0 0 Swoaf6tdwgaqriey 2 BA3lElK 8r4iagbhDtnsm Q GMoaHd5e2 1wNiLtNhs aIlnvfc iWnMimtIeN 0 AGlqg7e TbIr1aQ 6 Worksheet by Kuta Software LLC Answers to Solving Systems of Equations by Graphing 1) (1, -1) 2) (3, -4) 3) (3, -2) 4) (-1, -3) (. 5) -3, 3 ) 6) (-4, 4) (. 7) 3, 1 ) 8) (-1, -2) 9) (2, 1) 10) (4, 4) 11) (1, -1) 12) (4, 2) 13) (-1, 4) 14) (-2, -4) 15) (1, -1) 16) (3, 3) 17) (-3, -3) 18) (-4, 4) 19) (2, 3) 20) (-3, -2) (.

8 21) -1, -2 ) 22) (1, 1) (. 23) -4, 4 ) 24) Infinite number of solutions 25) No solution 26) No solution 27) Infinite number of solutions 28) (-1, 2) 29) Infinite number of solutions 30) No solution Z i2u0F1y0g JKBuUtjaG 3 Szovf5t7w7a7rDeI F WA8lIld wrfivgehktOsK b aMCaqdZeL Cw5i5t3hq wI2nKfMirngiLtDep SANlogcedbXrEah 7 Worksheet by Kuta Software LLC