Question

15. Solve the following pairs of equations: x/3+y/4=4 , 5x/6-y/8=4​

Answer 1

Solution:-

x/3+y/4=5x/6-y/8

or,4x/3+y=40x/6-y

or,1/3+y=10/6-y

or,30+10y=6-y

or,10y+y=6-30

or,11y=-24

Answer 2

ANSWER :

$\frac{x}{3} + \frac{y}{4} = (4 )\: \: \: \: ........1 \\ \frac{5x}{6} - \frac{y}{8} = (4 )\: \: \: \: \: \: \: \: .......2$

(1) multiply by 4

(2) multiply by 8

$\frac{4x}{3} + y = 16 \: \: .......(3)\\ \frac{20x}{3} - y = 32 \: \: .....(4)$

solve (3)+(4)

$\frac{24x}{3} = 48 \\ 8x = 48 \\ x = 5 \: \: \: ..........(5)$

solve (5) in (3)

$\frac{4(5)}{3} + y = 16 \\ \frac{20}{3} + y = 16 \\ 20 + 3y = 48 \\ 3y = 28 \\ y = \frac{28}{3}$