Question

Find the value of "y" :- {(3y/4)+7} ÷ {(2y/5)-4} = 5/4​

Answer 1

Given:

$\frac{3y}{4} + 7 \div \frac{2y}{5} - 4 = \frac{5}{4}$

Solution:

$= > \frac{3y}{4} + 7 \div \frac{2y}{5} - 4 = \frac{5}{4} \\ \\ = > \frac{3y}{4} + 7 \div \frac{2y}{5} - 4 = \frac{5}{4} \\ \\ = > \frac{3y + 28}{4} \div \frac{2y - 20}{5} = \frac{5}{4} \\ \\ = > \frac{3y + 28}{4} \div \frac{5}{2y - 20} = \frac{5}{4} \\ \\ = > \frac{5(3y + 28)}{4(2y - 20)} = </u><u>\frac{5}{4} \\ \\ = > \frac{15y + (28)(5)}{8y - 80} = \frac{5}{4} \\ \\</u><u>=</u><u>></u><u> 4(15y + 140) = 5(8y - 80) \\ \\ </u><u>=</u><u>></u><u>60y + 560 = 40y - 400 \\ \\ = > 60y - 40y = - 400 - 560 \\ \\ = > 20y = 960 \\ \\ = > y = \frac{960}{20} \\ \\ = > y = 48$

Hence the value of y = 48