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How do you solve rational equations $\frac{x + 1}{3} = \frac{2 x - 1}{4}$ $(x+1)/3 = (2x-1)/4$ ?

1 Answer

Jim G. · Tony B

Jan 2, 2016

$x = \frac{7}{2}$ $x = 7/2$

Explanation:

first cross mutiply to obtain

$4 (x + 1) = 3 (2 x - 1)$ $4(x + 1 ) = 3(2x - 1 )$

$4 x + 4 = 6 x - 3$ $4x + 4 = 6x - 3$

$4 x - 6 x = - 3 - 4$ $4x -6x = -3 - 4$

$- 2 x = - 7$ $-2x = -7$

$x = \frac{7}{2}$ $x = 7/2$

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