Question

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. ( , )

Answer 1

The solution is (8, -1).

We can solve this system of equation by elimination. I will subtract the equations to eliminate y.

3x + y = 23
-2x + y = -17

5x = 40
x = 8

Now, plug in 8 for x and you will get -1 for y.

Answer 2

x = 8 , y= -1 are solutions.

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.