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Foundations: Friday, February 10, 2017 Name ___________________________________ ©M s2b0_1G7` eKEuVtIaX ]SNomfqtrwlaerkeo RLnLcCk.d D hANlYlT FrBiZgyhytqsU DraensheNrvvLeBdO. Elimination - 3 Period ____ Let's do these together. Multiply one equation, then add or subtract to solve each system by elimination. 1) 2) -10x - 14 y = -20 -3x - 7 y = 8 3) -18x + 6 y = 12 -9x + 3 y = 6 4) 18x + 6 y = -28 -9x - 3 y = 18 4x + 3 y = -4 12x + 4 y = -12 Your turn. Multiply one equation, then add or subtract to solve each system by elimination. 5) 6) 10x - 7 y = -20 -7x - 14 y = 14 7) -8x + 6 y = 28 7x - 2 y = -18 8) -x + 7 y = -13 -8x + 6 y = -4 9) 8x - y = -23 -x + 2 y = 1 10) -2x - 18 y = -4 x - 9y = 2 -7x + 8 y = 16 -14x + 4 y = 8 Worksheet by Kuta Software LLC -1- ©l Z2O0j1h7y gKtujtLaO RSzoPf`tGwnaTrIeZ iL]LeCP.b t OANlyli nryiOgShGtws_ brUepsQeYrHvqe`db.O E NMhavdsev JwqidtqhY _IsnUfIiFnDittZem WAElYg_eqbmr^al N1F. 11) 12) x + 7 y = -22 -6x - 6 y = 24 13) -x + y = 7 -3x + 3 y = 21 14) -5x + 5 y = 30 10x + y = 6 15) -10x - 4 y = -9 5x + 2 y = 3 16) 12x + 8 y = -4 -6x + 10 y = -26 17) -8x + 4 y = -24 -16x + 3 y = 2 18) 14x - 16 y = -14 -7x + 8 y = 7 19) 14x + 8 y = 8 -7x - 6 y = -20 20) 8x - 7 y = 19 16x - 14 y = 28 21) 12x - y = -2 4x + 7 y = 14 22) x + 7y = 4 3x - 10 y = -19 -6x - y = 1 -3x - 3 y = 18 Worksheet by Kuta Software LLC -2- ©` `2^0T1X7M sKpuotKaA [SCoif^tQwdaCrLet eLOLXCl.G z VAYlTlS krZiygthWttsW FrKenseehrXvqeody.R D ZMRaRdbez pw_iHtPhG ^IgnzfLi_nxi^thez ^AJlZgiedbVrnaN E1g. Foundations: Friday, February 10, 2017 Name ___________________________________ ©W e2z0`1G7] dKqudt[aK IShoAfvtpwoacrweY LLbLrC\.\ ] AAalClw Ir\ixgIhQtGsL OryeXsYeQrHvpeidj. Elimination - 3 Period ____ Let's do these together. Multiply one equation, then add or subtract to solve each system by elimination. 1) 2) -10x - 14 y = -20 -3x - 7 y = 8 -18x + 6 y = 12 -9x + 3 y = 6 (9, -5) 3) Infinite number of solutions 4) 18x + 6 y = -28 -9x - 3 y = 18 4x + 3 y = -4 12x + 4 y = -12 (-1, 0) No solution Your turn. Multiply one equation, then add or subtract to solve each system by elimination. 5) 6) 10x - 7 y = -20 -7x - 14 y = 14 -8x + 6 y = 28 7x - 2 y = -18 (-2, 0) 7) (-2, 2) 8) -x + 7 y = -13 -8x + 6 y = -4 8x - y = -23 -x + 2 y = 1 (-1, -2) 9) (-3, -1) 10) -2x - 18 y = -4 x - 9y = 2 -7x + 8 y = 16 -14x + 4 y = 8 (0, 2) (2, 0) Worksheet by Kuta Software LLC -1- ©x j2V0u1Y7N bK_uUtRah [StoAfgtOwFayr\eL OLoLICO.E E _Ail^ll araiQgphEtesS VrJeisie]rLvjecd\.f Z MMoayd`eR BwViDtmhR qIxnNfAi\nTidtFeD CAZlpgRezb`rQac a1m. 11) 12) x + 7 y = -22 -6x - 6 y = 24 -x + y = 7 -3x + 3 y = 21 (-1, -3) Infinite number of solutions 13) 14) -5x + 5 y = 30 10x + y = 6 -10x - 4 y = -9 5x + 2 y = 3 (0, 6) No solution 15) 16) 12x + 8 y = -4 -6x + 10 y = -26 -8x + 4 y = -24 -16x + 3 y = 2 (1, -2) (-2, -10) 17) 18) 14x - 16 y = -14 -7x + 8 y = 7 14x + 8 y = 8 -7x - 6 y = -20 Infinite number of solutions (-4, 8) 19) 20) 8x - 7 y = 19 16x - 14 y = 28 12x - y = -2 4x + 7 y = 14 No solution (0, 2) 21) 22) x + 7y = 4 3x - 10 y = -19 -6x - y = 1 -3x - 3 y = 18 (-3, 1) (1, -7) Worksheet by Kuta Software LLC -2- ©x Z2p0S1Q7H IKru\tiaA BSOoMf[tWwCaGrKe_ qLlLkCc.n r zAVl_lP LrjivgjhStmsT ErJeWsnehrtvieVdx.] S XM\andieE OweiFteh^ gIznzfriOnviOtged hAFl^gselbKrYaR I1B.