Question

$\frac{5}{2} y + 3 \frac{1}{2} = \frac{2}{3} y + 5$
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Answer 1

Given:

        $\frac{5}{2}y + 3\frac{1}{2} = \frac{2}{3}y + 5$

To find:

      y

Step-by-step explanation:

• $\frac{5}{2}y + 3\frac{1}{2} = \frac{2}{3}y + 5$

• $\frac{5}{2}y + \frac{5}{2} = \frac{2}{3}y + 5$

• $\frac{5}{2}y - \frac{2}{3}y = 5 -\frac{5}{2}$

• $\frac{15}{6}y -\frac{4}{6}y = \frac{10}{2} - \frac{5}{2}$

• $\frac{11}{6}y = \frac{5}{2}$

• $y = \frac{5}{2}$ × $\frac{6}{11}$

• $y = \frac{30}{22} =\frac{15}{11} = 1\frac{4}{11}$

So, the answer is

$y = \frac{15}{11} = 1\frac{4}{11}$