Question

x+2y+1=0 2x-3y-12=0​

Answer 1

Step-by-step explanation:

x = 3

y= -2

these are the answers for your question

Answer 2

Solution :

$x+2y+1=0$........(1)

$2x-3y-12=0$........(2)

Let's simplify the (1) equation,

$\implies x+2y+1=0$

$\implies x+2y=-1$

$\implies x=-1-2y$........(3)

Substitute (3) in (2)

$\implies x+2y+1=0$

$\implies 2(-1-2y)-3y-12=0$

$\implies$ $-2-4y-3y-12=0$

$\implies$ $-7y-14=0$

$\implies$ $-7y=14$

$\implies$$-y=\frac{14}{7}$

$\implies$ $y=-2$

Now, substitute the value of y in (1) equation.

$\implies x+2y+1=0$

$\implies x+2(-2)+1=0$

$\implies x-4+1=0$

$\implies x-3=0$

$\implies x=3$

Verification :

Substitute the value of x and y in equation (1)

$x+2y+1=0$

$(3)+2(-2)+1=0$

$3-4+1=0$

$0=0$

Substitute the value of x and y in equation (2)

$2x-3y-12=0$

$2(3)-3(-2)-12=0$

$6+6-12=0$

$12-12=0$

$0=0$

$\textbf{Hence verified}$