Algebra 1

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

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 379: 34



Work Step by Step

Our two equations are: 1. 3x+2y=5 2. 4x+5y+16 First, lets multiply the first equation with 4. By doing so, we get: 1. 12x+8y=20 2. 4x+5y+16 Then, lets multiply the second equation with 3. By doing so we get: 1. 12x+8y=20 2. 12x+15y+48 Now lets subtract the second equation from the first equation. By doing so, we end up with the equation: -7y=-28 Now lets divide both sides by -7 to find the value of y. y=4 Now that we know the value of y, lets substitute that value into the first equation to get our x value or coordinate. 3x+2(4)=5 3x+8=5 Subtract both sides by 8 and then divided by 3 to find the value of x. We get: x=-1 So our answer is the ordered pair (-1,4)
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