Question

What is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

Answer 1

Explanation:

In order for us to be able to get our (x,y) value, we need to show our work step-by-step.

Solving for Y:

-2x + 3y = -9

+ (2x - 5y = 11)

_____________________

-2y = 2

-2 -2

In order for us to be able to find our y value, we need to divide -2 both sides.

y = -1

Solving for X:

2x-5(-1) = 11

2x + 5 = 11

- 5 -5

_____________________

2x = 6

2 2

In order for us to find our x value, we need to divide 2 both sides.

x = 3

Our equation set or (x,y) value will be equal to:

(3,-1)

Answer 2

Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3