Question

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`(x + 2)/(2x - 2) = (1)/(2)`
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Answer 1

No solution

Explanation:

We are given the following equation and asked to solve for x

`(\left(x+2\right))/(2x-2)=(1)/(2)`

`\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}(a)/(b)=(c)/(d)\mathrm{\:then\:}a\cdot \:d=b\cdot`

`\left(x+2\right)\cdot \:2=\left(2x-2\right)\cdot \:1`

`\mathrm{Simplify}2x + 2 = 2x - 2\\\\\textrm{Subtract\;$2x$\;both\;sides}:\\-2 = 2`

Since the sides are not equal this indicates there is no solution to this system.