Question

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution
Equation #1
7x - 14 = 6x + 2
Equation #2
7 - 2x = 5x + 21
A) The solution to equation #1 is smaller than the solution to equation #2.
B) The solution to equation #1 is larger than the solution to equation #2.
C) The solution to equation #1 is the same as the solution to equation #2.
D) None of the statements above describe solutions to equations shown.

Answer 1

Solving equation # 1


7x-14=6x+2


7x=6x+2+14


7x-6x=2+14


x=2+14


x=16


So the solution to equation #1 is x = 16

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Solving equation # 2


7-2x=5x+21


-2x=5x+21-7


-2x-5x=21-7


-7x=21-7


-7x=14


x=14/(-7)


x = -2



So the solution to equation #2 is x = -2



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In short, the solutions to equations #1 and #2 are x = 16 and x = -2 respectively.


Therefore, the solution to equation #1 is larger than the solution to equation #2


So the answer is choice B

Answer 2

You are a life savior, thank you!:)))
Plus that made a lot of sense.

Answer 3

You're welcome. Glad everything is clicking and that I could be of help.