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Please help me with the steps on solving this please would help a lot..

Which equation has no solution?
8 – (5v + 3) = 5v – 5
3m – 6 = 5m + 7 – m
3w + 4 – w = 5w – 2(w – 2)
7y + 9 = 7y – 6
.

1 Answer

1 vote
8 – (5v + 3) = 5v – 5
8 - 5v - 3 = 5v - 5
5v + 5v = 8 - 3 + 5
10v = 10
v = 1 [has a solution]

3m – 6 = 5m + 7 – m
3m - 6 = 4m + 7
4m - 3m = -6 - 7
m = -13 [has a solution]

3w + 4 – w = 5w – 2(w – 2)
2w + 4 = 5w - 2w + 4 = 3w + 4
3w - 2w = 4 - 4
w = 0 [has a solution]

7y + 9 = 7y – 6
7y - 7y = -6 - 9
0 = -15 [has no solution]
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