Question

Solve: $2x+y=-4,3y=5x-1$

By Substitution method

Answer 1

We have, $2x+y=-4,3y=5x-1$

Solving the first equation, we have

$2x+y=-4$

$\Rightarrow y=-4-2x\dots \dots \left(i\right)$

On Substituting the above value in second equation, we get

$3(-4-2x)=5x-1$

$\Rightarrow -12-6x=5x-1$

$\Rightarrow -12+1=5x+6x$

$\Rightarrow -11=11x$

$\therefore x=-1$

On putting the value of $x$ in $eq\left(i\right),$ we get

$y=-4-2\times -1$

$\therefore y=-4+2=-2$

Hence, $x=-1,y=-2$ are the solutions of the given equations.