Question

a1" title=" \frac{x + 1}{2} = \frac{2x - 3}{6} " alt=" \frac{x + 1}{2} = \frac{2x - 3}{6} " align="absmiddle" class="latex-formula">
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Answer 1

The solution is x = -6

Further Explanation:

Given equation is:

$\frac{x+1}{2} = \frac{2x-3}{6}$

In order to solve these types of equations cross multiplication and simplification is used.

So,

Cross multiplying

$6(x+1) = 2(2x-3)\\6x+6 = 4x-6\\6x-4x = -6-6\\2x = -12\\\frac{2x}{2} = \frac{-12}{2}\\x = -6$

Verification:

$\frac{-6+1}{2} = \frac{2(-6)-3}{6}\\\frac{-5}{2} = \frac{-12-3}{6}\\\frac{-5}{2} = \frac{-15}{6}\\\frac{-5}{2} = \frac{-5}{2}$

Hence, the solution is x = -6

Keywords: Linear Equations, Fractional Linear Equations

Learn more about Linear Equations at:

• brainly.com/question/10387593
• brainly.com/question/3739260

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