Question

3 by 4 x + 1 by 3 Y equal to 5 1 by 4 x 2 by 3 Y equal to 7
$\frac{3}{4} x + \frac{1}{3} y = 5 \\ \frac{1}{4} x + \frac{2}{3} y = 7$
plz solve it​

Answer 1

this is the required answer

Answer 2

$\frac{3}{4}x + \frac{1}{3}y = 5$

$= > \frac{9x + 4y}{12} = 5$

$= > 9x + 4y = 60 \: \: \: \: \: \: (i)$

CASE II)

$\frac{1}{4} x + \frac{2}{3} y = 7$

$= > \frac{3x + 8y}{12} = 7$

$= > 3x + 8y = 84 \: \: \: \: \:( ii)$

NOW ELEMINATING EQUATIONS I & II,

$= > 9x + 4y = 60 \\ \: \: \: \: \: \: \: \: 3x + 8y = 84$

$= > 18x + 8y = 120 \\ \: \: \: \: \: \: \: \: \: 3x + 8y = 84$

$= > 15x = 36$

$x = \frac{36}{15}$

PUT THIS VALUE IN EQUATION (I)

=>9x+4y=60 ( Put value of x and find LCM)

=>108+20y=300

=>20y=192

=> y=48/5

Hope this answer is helpful