Question

Which of the following equations have the same solution? Solve all three equations separately, and explain each step.

I. 2x + 4 = 3x – 11
II. 3x + 3 = 51
III. the quantity of 2x plus 1, divided by 3 equals the quantity of x plus 6, divided by 2

Answer 1

2x + 4 = 3x - 11 -- subtract 3x
2x - 3x + 4 = -11 -- subtract 4
2x - 3x = -11 - 4 -- combine like terms
-x = - 15 -- multiply by -1 to make x positive
x = 15
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3x + 3 = 51 -- subtract 3
3x = 51 - 3
3x = 48 -- divide by 3
x = 16
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(2x + 1) / 3 = (x + 6) / 2
cross multiply
2(2x + 1) = 3(x + 6) -- distribute
4x + 2 = 3x + 18 -- subtract 3x
4x - 3x + 2 = 18 -- subtract 2
4x - 3x = 18 - 2 -- combine like terms
x = 16
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Answer 2

thank you!! very much!! :)

Answer 3

no problem :)