Question

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

Answer 1

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 $-2x+3y=-9\hfill (1)$

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

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)

$-2x+3y=-9$

$2x+2y=4$

_______________

$5y=-5$

$y-\frac{5}{5}$

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

$=-\frac{-6}{-2}$

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)