Question

x/5+y/6+1=x/6+y/5=28​

Answer 1

Step-by-step explanation:

$\bf \implies \frac{x}{5} + \frac{y}{6} + 1 = 0 \\ \\ \implies\bf \frac{x}{6} + \frac{y}{5} = 28$

$\bf \implies\frac{x}{5} + \frac{y + 6}{6} = 0$

$\bf\implies\frac{6x + 5y + 30}{30} = 0$

$\implies\bf 6x+ 5y + 30 = 0$

$\implies\bf 6x = - 5y - 30$

$\implies\bf x = \frac{ - 5y - 30}{6}$

$\implies\bf \frac{x}{6} + \frac{y}{5} = 28$

$\implies \bf\frac{ \frac{ -5y-30 }{ 6 } }{ 6 } + \frac{ y }{ 5 } =28$

$\bf\implies5\times \left(\frac{-5y-30}{6}\right)+6y=840$

$\implies\bf\frac{5\left(-5y-30\right)}{6}+6y=840$

$\bf\implies\frac{-25y-150}{6}+6y=840$

$\bf\implies-\frac{25}{6}y-25+6y=840$

$\bf\implies\frac{11}{6}y-25=840$

$\bf\implies\frac{11}{6}y=865$

$\bf \implies\: y=865\times \left(\frac{6}{11}\right)$

$\boxed {\bf \implies\: y=\frac{5190}{11} }$