Question

3y/3-5x/3=-2 and y/2+x/3=13/16​

Answer 1

$\huge\underline{ \underline{ \bf{ \blue{ \: solution \: : = }}}}$

$\bf \frac{3y}{3} - \frac{5x}{3} = - 2$

$\bf \frac{y}{2} + \frac{x}{3} = \frac{13}{16}$

$\bf- 5x + 3y = - 6..............(1) \\ \bf \: 16x + 24y = 39...............(2)$

Multiply both sides of the equation by -8

$\bf40x - 24y = 48 \\ \bf16x + 24y = 39$

_______________________

$</strong><strong>\</strong><strong>b</strong><strong>f</strong><strong> </strong><strong>56x \: </strong><strong>\</strong><strong>:</strong><strong>\: \:</strong><strong> \: \: = 87$

$\boxed{ \fbox{ \purple{x = \frac{87}{56} }}}$

Substituting. the given value of x into the equation -5x+3y=-6

$\bf - 5 \times \frac{87}{56} + 3y = - 6$

$\bf{ \boxed{ \fbox{ \purple{y = \frac{33}{56} }}}}$