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The set includes multiple example systems followed by a critical thinking task requiring students to create a new system that matches a given solution pair, then verify 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graphing.  \nSolve each system by substitution.  \n5) y = 4x − 9 6) 4x + 2y = 10 y = x − 3 x − y = 13  \n7) y = −5 8) x + 7y = 0  \n5x + 4y = −20 2x − 8 y = 22  \n9) 6x + 8y = −22 y = −5  \n11) 7x + 2y = −19  \n− x + 2y = 21  \n13) −7x + 4y = 24  \n4x − 4 y = 0  \nSolve each system by elimination.  \n15) 8x − 6 y = −20  \n−16x + 7y = 30  \n17) −8x − 10 y = 24  \n6x + 5y = 2  \n19) −4 y − 11x = 36  \n20 = −10x − 10 y  \n21) 0 = −2y + 10 − 6x  \n14 − 22 y = 18x  \n23) −16 + 20x − 8 y = 0  \n36 = −18y − 22x  \n10) −7x + 2y = 18  \n6x + 6y = 0  \n12) 3x − 5 y = 17 y = −7  \n14) 4x − y = 20  \n−2x − 2 y = 10  \n16) 6x − 12 y = 24  \n− x − 6 y = 4  \n18) −24 − 8x = 12 y  \n1 + ~~ ~~59~~ ~~ y = − ~~ ~~718x  \n20) −9 + 5 y = −4x  \n−11x = −20 + 9y  \n22) −16 y = 22 + 6x  \n−11 y − 4x = 15  \n24) − ~~ ~~57 − ~~ ~~117x = − y  \n2 y = 7 + 5x  \nCritical thinking questions:  \n25) Write a system of equations with the solution (4, −3) .  \nKuta Software-Infinite Algebra 2 Name   \nSystems of Two Equations Date  Period   \nSolve each system by graphing.  \n1) y = −3x + 4 y = 3x − 2  \n( 1, 1)  \n3) x − y = 3  \n7x − y = −3  \n(−1, −4)  \nSolve each system by substitution.  \n5) y = 4x − 9  \ny = x − 3  \n(2, −1)  \n2) y = x + 2 x = −3  \n(−3, −1)  \n4) 4x + y = 2 x − y = 3  \n( 1, −2)  \n6) 4x + 2y = 10 x − y = 13  \n(6, −7)  \n7) y = −5  \n5x + 4y = −20  \n(0, −5)  \n8) x + 7y = 0  \n2x − 8 y = 22  \n(7, −1)  \n9) 6x + 8y = −22  \ny = −5  \n(3, −5)  \n11) 7x + 2y = −19  \n− x + 2y = 21  \n(−5, 8)  \n13) −7x + 4y = 24  \n4x − 4 y = 0  \n(−8, −8)  \nSolve each system by elimination.  \n15) 8x − 6 y = −20  \n−16x + 7y = 30  \n(−1, 2)  \n17) −8x − 10 y = 24  \n6x + 5y = 2  \n(7, −8)  \n19) −4 y − 11x = 36  \n20 = −10x − 10 y  \n(−4, 2)  \n21) 0 = −2y + 10 − 6x  \n14 − 22 y = 18x  \n(2, −1)  \n23) −16 + 20x − 8 y = 0  \n36 = −18y − 22x  \n(0, −2)  \n10) −7x + 2y = 18  \n6x + 6y = 0  \n(−2, 2)  \n12) 3x − 5 y = 17  \ny = −7  \n(−6, −7)  \n14) 4x − y = 20  \n−2x − 2 y = 10  \n(3, −8)  \n16) 6x − 12 y = 24  \n− x − 6 y = 4  \n(2, −1)  \n18) −24 − 8x = 12 y  \n1 + ~~ ~~59~~ ~~ y = − ~~ ~~718x  \n(6, −6)  \n20) −9 + 5 y = −4x  \n−11x = −20 + 9y  \n( 1, 1)  \n22) −16 y = 22 + 6x  \n−11 y − 4x = 15  \n(−1, −1)  \n24) − ~~ ~~57 − ~~ ~~117x = − y  \n2 y = 7 + 5x  \n(−3, −4)  \nCritical thinking questions:  \n25) Write a system of equations with the solution (4, −3) .  \nMany answers. Ex: x + y = 1, 2x + y = 5  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCailSaISWIwpyz","https://ap.wps.com/l/cbCailSaISWIwpyz","pdf",62900,"English","# Solve Each System by Graphing\n# Solve Each System by Substitution\n# Solve Each System by Elimination\n# Critical Thinking Questions","[{\"question\":\"How do I solve a system by graphing?\",\"answer\":\"Graph both equations on the same coordinate plane and identify the shared solution point where the lines intersect.\"},{\"question\":\"When should I use substitution to solve a system?\",\"answer\":\"Use substitution when one equation can be rewritten easily so you can replace a variable into the other equation.\"},{\"question\":\"What does the critical thinking question ask for?\",\"answer\":\"It asks you to write a system of equations whose solution is the given ordered pair, such as (4, −3), and then provide matching equations.\"}]","Systems of Two Equations - Solve Each System by Graphing, Substitution, and Elimination | PDF",1791426166]