Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Got It? - Page 103: 1

Answer

a. The solution for 7k + 2 = 4k - 10 is k=-4. b. The answer would not change at all and stay x=4.

Work Step by Step

a. To solve 7k + 2 = 4k - 10, you start with subtracting "4k" from both the sides, which leaves you with: 3k+2=-10. Next, you subtract "2" from both the sides leaving you with 3k=-12. Lastly, you isolate "k" by dividing 3 from both the sides and the answer is k=-4. b. If we were to subtract "2x" from both the sides you would get -3x and then you would have to subtract 14 from both the sides causing you to get -12. To isolate x, you would divide -3 from both the sides, causing the answer to be x=4.
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