Solving Systems of Equations by Graphing

1 F U2o0v1N0R yKjuztLaO nS7okfqtZwYahrGe2 Y dAclglj Sr1iVgNhTtdsG z 5 MkaadLeW Vwjirtbhw LIQnMfGiAnmittzes LAFltgFeXbSrqaV Worksheet by Kuta software LLC Worksheet Name_____ Date_____ Solving Systems of Equations by Graphing Solve each system by Graphing (find the point of intersection of the two lines) . 1) y = 2 x - 3 y = -3 x + 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 2) y = - 5 3 x + 1 y = - 1 3 x - 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 3) y = - x + 1 x = 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 4) y = 4 x + 1 y = x - 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 1 c d2k0Y1J0D BKIuQtEaf PS7oBfMtnwua9rXeT P eAblUlF RrMiIgShXtDsI K 7 MSabdZep Pwdijtkhc zIZnEfLiCnFiAtZeR kAclbgAeYbzrda2 Worksheet by Kuta software LLC 5) y = - 1 3 x + 2 y = -2 x - 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 6) y = - 1 4 x + 3 y = - 3 2 x - 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 7) y = 4 3 x - 3 y = 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 8)

2 Y = -2 x - 4 y = 4 x + 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 2 k X260U1509 sKyujtzaA rSvoqfWtXwEaArUeS l iAIl5lq irkiSgyhYt7sK n BMFaJdVe5 LwPistfha 0 IHnvfLiUnViYtSeS iAoligBekbMrIak Worksheet by Kuta software LLC 9) y = - 3 2 x + 4 y = 3 2 x - 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 10) y = 2 x - 4 y = 1 4 x + 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 11) 5 x + y = 4 x - y = 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 12) x - 4 y = -4 5 x - 4 y = 12 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 13) x + y = 3 8 x + y = -4 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 14) x - y = 2 x = -2 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 3 N W2y0X1I0o nKVuYt7aZ uSJo7f4tKwnaFrzey i vA7lXlH RrAi8gFhntfsY K DMVazdBeM ZwJiitShN cIFnlfzignui1tleV JAalogWeLbHrOaJ Worksheet by Kuta software LLC 15) 2 x + y = 1 2 x - y = 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 16) x - 3 y = -6 2 x - y = 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 17) x + 3 y = -12 5 x - 3 y = -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 18) 2 x + y = -4 x + 4 y = 12 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 19) x + 2 y = 8 x - 2 y = -4 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 20)

3 2 x + 3 y = -12 5 x - 3 y = -9 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 4 W g2j0Q1b0l zKouzt5aL hSYosfPtcwdaSr4eq j mAllAl2 OrRiWgohltJs9 6 IMQa0dAeV 0wYiItnhb 4 IMnvf7iwnEiztKes CAslSgbeRb1r4ad Worksheet by Kuta software LLC Solve each system by Graphing (find the point of intersection of the two lines). 21) -6 x + y = 4 - y - 2 x = 4 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 22) - y - 3 + 4 x = 0 -4 = -3 x - y -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 23) 0 = -3 x - 4 - 2 y 2 - 1 2 x = y -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 24) -2 x - y = 1 -6 x = 3 y + 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 25) x - 2 y + 8 = 0 -6 - 2 y = - x -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 26) -2 y - 5 x = 2 -5 x = 2 y - 4 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 5 B M2q05100J YKguZtfa0 0 Swoaf6tdwgaqriey 2 BA3lElK 8r4iagbhDtnsm Q GMoaHd5e2 1wNiLtNhs aIlnvfciWnMimtIeN 0 AGlqg7eTbIr1aQ Worksheet by Kuta software LLC 27) 2 y + x - 4 = 0 2 y = - x + 4 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 28) -4 = -2 y 4 + 6 x = - y -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 29)

4 -2 x = -8 - 2 y -2 y - 8 = -2 x -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 30) 2 y + 4 + 3 x = 0 -2 y = 8 + 3 x -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 6 Z i2u0F1y0g JKBuUtjaG 3 Szovf5t7w7a7rDeI F WA8lIld wrfivgehktOsK b aMCaqdZeL Cw5i5t3hq wI2nKfMirngiLtDep SANlogcedbXrEah Worksheet by Kuta software LLC 7 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) 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 solutio