Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - Chapter Test - Page 407: 5


Solution: (2, -9)

Work Step by Step

Our two equations are: 1. 8x+2y=-2 2. y=-5x+1 First in order to prepare these two equations for elimination lets add 5x to both sides of Equation 2. This gives us the two equations below: 1. 8x+2y=-2 2. 5x+y=1 Then multiply the second equation by 2. 1. 8x+2y=-2 2. 10x+2y=2 Next subtract the second equation from the first equation. You get: -2x=-4 (Divide by -2 on both sides) x=2 Now plug this value of x into the first equation to find the value of y. 8(2)+2y=-2 16+2y=-2 (Subtract 16 from both sides) 2y=-18 (Divide by 2 to both sides) y=-9 So our solution: (2, -9)
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