#### Noah and Lin are solving this system: 8x + 15 y = 58 12 x - 9y = 150 Noah multiplies the first equation by 12 and the second equation by 8, which gives: 96 x + 180 y = 696 96 x - 72 y = 1200 Lin says, “I know you can eliminate x by doing that and then subtracting the second equation from the first, but I can use smaller numbers. Instead of what you did, try multiplying the first equation by 6 and the second equation by 4." Do you agree with Lin that her approach also works? Explain your reasoning. What are the smallest whole-number factors by which you can multiply the equations in order to eliminate x ?

unit 2 lesson 20
CCSS.HSA.CED.A.1.Q.A1.SIV.20
CCSS.HSA.CED.A.3.Q.A1.SIV.20
CCSS.HSA-REI.B.3.Q.A1.SIV.20
HSA-CED.A.1
HSA-CED.A.3
HSA-REI.B.3
writing and solving inequalities in one variable
solving system of equations
elimination method

Jordan Perez-Salvador

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