Question

The answer for x – y = 2 and x + y = –3 using elimination steps

Answer 1

The solution for the given system of equations (x,y) is (-1/2, -5/2).

Step-by-step explanation:

The given system of equations are :

x - y = 2  ------(1)

x + y = -3  -------(2)

To solve the system of equations, you can use elimination method.

In this method, the first step is followed by adding both the equations.

    x - y = 2  

(+) x + y = -3

   2x     = -1  

⇒ 2x = -1

divide by 2 on both side, to get x value.

⇒ x = -1/2

The value of x is -1/2

The second step is to substitute x = -1/2 in any of the two equations.

Put x = -1/2 in equation (1),

⇒ -1/2 -y = 2

Cross multiply the denominator 2 on both sides,

⇒ -1-2y =4

Add 1 on both sides,

⇒ -2y = 4 + 1

⇒ -2y = 5

Divide by -2 on both sides,

⇒ y = -5/2

The value of y is -5/2

The solution to the system of equations is be given by (x,y).

Therefore, the solution is (-1/2, -5/2).