What is the solution to the system of equations? use the linear combination method. {−2x+y=−173x+y=23 enter your answer in the boxes. ( , )

x = 8 , y= -1 are solutions.

Step-by-step explanation:

Given  : -2x +y = -17 and  3x +y = 23 .

To find  : What is the solution to the system of equations.

Solution : WE have given that :

-2x +y = -17   ( equation 1)

3x +y = 23 ( equation 2)

On subtracting equation 2 from equation 1 we get,

-2x +y = -17  

(-)3x +(-)y = (-)23

-5x  +0   = - 40.

On dividing by -5 both sides

x = 8.

Plugging x =8 in equation 1

-2 (8) +y = -17

-16 + y =-17

On adding 16 noth sides

y = -1.

Therefore , x = 8 , y= -1 are solutions.