Answer:
The values of x and y to the given equation are x=3 and y=-1
The solution to the given equation is (3,-1)
Step-by-step explanation:
Given equations are [tex]-2x+3y=-9\hfill (1)[/tex]
[tex]x+y=2\hfill (2)[/tex]
To solve given equations by using elimination method :
Mutliply the equation (2) into 2 we get
[tex]2x+2y=4\hfill (3)[/tex]
Now adding the equations (1) and (3)
[tex]-2x+3y=-9[/tex]
[tex]2x+2y=4[/tex]
_______________
[tex]5y=-5[/tex]
[tex]y-\frac{5}{5}[/tex]
Therefore y=-1
Now substitute the value of y=-1 in the equation (1) we get
-2x+3(-1)=-9
-2x-3=-9
-2x=-9+3
[tex]=-\frac{-6}{-2}[/tex]
Therefore x=3
The values of x and y to the given equation are x=3 and y=-1
The solution to the given equation is (3,-1)
