Question

Solve by cross multiplication method:
$6x+7y-11=0$
$5x+2y=13$

Answer 1

Consider the given equations.

$6x+7y-11=0$

$5x+2y-13=0$

By using cross multiplication, we get

$6$ $7$ $-11$

$5$ $2$ $-13$

$\frac{x}{7\times (-13)-2\times (-11)}=\frac{y}{-11\times 5-(-13)\times 6}=\frac{1}{6\times 2-7\times 5}$$⟹\frac{x}{-91+22}=\frac{y}{-55+78}=\frac{1}{12-35}$

$\frac{x}{-69}=\frac{y}{23}=\frac{1}{-23}$

$x=3,y=-1$

Hence, the value of $x$ and $y$ is $3,-1$.