Question

5y-2x=-3/-4y+x=12 Can someone help me with this system of equation.

Answer 1

`-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~(x)/(5(-12)-3(-4)) = (y)/(3\cdot 1 -(-2)(-12))=(1)/((-2)(-4)-5\cdot 1) \\\\\\\implies (x)/(-60+12)= (y)/(3-24) = \frac1{8-5}\\\\\\\implies -(x)/(48)=-\frac y{21} = \frac 1{3}\\\\\\\implies x = -(48)/(3),~~~ y = -(21)/(3)\\\\\\\implies x = -16, ~~~~ y = -7`