The solution for the given system of equations (x,y) is (-1/2, -5/2).
<u>Step-by-step explanation:</u>
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
(+) <u>x + y = -3 </u>
<u>2x = -1 </u>
⇒ 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).
