Question

-2x + 3y =-9
X+y = 2

Answer 1

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)

Explanation:

Given equations are
`-2x+3y=-9\hfill (1)`

`x+y=2\hfill (2)`

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

`2x+2y=4\hfill (3)`

Now adding the equations (1) and (3)

`-2x+3y=-9`

`2x+2y=4`

_______________

`5y=-5`

`y-(5)/(5)`

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

`=-(-6)/(-2)`

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)