Question

slice by cross multiplication method 3x+14y=5xy ,21-x=2xy​

Answer 1

Explanation:

$\huge \boxed{\underbrace{\mathfrak {\underline {\fcolorbox {black}{pink}{Answer}}}}}$

${ 3x+14y=5xy ........(1) }$

${ 21y-x=2xy }$

$\implies { -x+21y=2xy.......(2) }$

multiplying equation1 by 21 and equation2 by 14,We get....

${ 63x+294y=105xy.............(3) }$

${ -14x+294y=28xy...............(4) }$

solving the two equation3 and 4, we got that..

$\implies { y=1 }$

then put the value ${ y=1 }$In equation 1

${ 3x+14y=5xy }$

$\implies {3x+14=5x }$

$\implies { 5x-3x=14 }$

$\implies { 2x=14 }$

$\implies { x=\frac{14}{2} }$

$\implies { x=7 }$

we got the value ${(x,y ) }$=${( 7,1 ) }$