Question

How would you solve 3x + y = -14

-2x + y = 9
while showing all of the work

Answer 1

`x= (-23)/(5), y=(-1)/(5)`

Explanation:

3x + y = -14

-2x + y = 9

We'll try to find x

(-2x + y = 9) multiplied by -1 => -1(-2x+y=9) = 2x-y = -9

3x + y = -14

+2x -y = -9

+__________

3x + 2x +y -y = -14 - 9

5x = -23

x = -23/5

3x + y = -14 =>And now we can find y. Just plug in -23/5 for x

`3(-23)/(5) + y = -14`

`(-69)/(5) + (5y)/(5) = (-70)/(5)`

`(5y)/(5) =(-1)/(5)`

5y = -1

y = -1/5

Hope this helps ^-^

Answer 2

X=

`( - 23)/(5)`

Y=

`( - 1)/(5)`

Explanation:

3x+y=-14

2x-y=-9

5x=-23

y=