Question

x+2y=-1,2x-3y=12 solve the following simultaneous equation .ans is ( 3, -2).​

Answer 1

Step-by-step explanation:

3+ (-4)=-1

6+6=12

by putting the value ofx and y

Answer 2

Answer :

The required values are :

x = 3

y = -2

Given :

The equations are :

• x + 2y = -1
• 2x - 3y = 12

To Find :

• The values of x and y

Solution :

Taking the given equations as :

$\sf{x + 2y = -1}\\ \sf{\implies 2x+ 4y = -2............(1)}$

and

$\sf{2x - 3y = 12 ............(2)}$

Subtracting (1) from (2) we have :

$\sf{\implies 2x - 3y -(2x + 4y)= 12 -(-2)}$

$\sf{\implies x - 3y - x - 4y = 12 +2}$

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

$\sf\implies y = - \dfrac{14}{7}$

$\bf\implies y = -2$

Putting the value of y in (1) we have :

$\sf{\implies 2x + 4(-2) = -2}$

$\sf{\implies 2x-8 = -2}$

$\sf{\implies 2x = 8-2}$

$\sf{\implies x = \dfrac{6}{2} }$

$\bf{\implies x = 3}$

Thus x = 3 and y = -2