Question

Solve the pair of linear equation $2x+3y=11$ and $2x-4y=-24$

Answer 1

Given pair of equation-

$2x+3y=11.....\left(1\right)$

$2x-4y=-24.....\left(2\right)$

Subtracting equation $\left(2\right)$ from $\left(1\right)$, we have

$(2x+3y)-(2x-4y)=11-(-24)$

$2x+3y-2x+4y=11+24$

$7y=35$

$\Rightarrow y=\frac{35}{7}=5$

Substituting the value of $y$ in equation $\left(1\right)$, we have

$2x+3\left(5\right)=11$

$2x=11-15$

$\Rightarrow =\frac{-4}{2}=-2$

Hence the value of $x$ and $y$ for the given pair of linear equation is $-2$ and $5$ respectively.