Question

HELP ASAP

A system of equations is shown.

2m - n = -14
-1m + 3n = 17

What is the value of n?

a. 14
b. 4
c. -5
d. 10

Answer 1

b.
`4`

Explanation:

{2m - n = −14

{−m + 3n = 17

⅓[−m + 3n = 17]

{2m - n = −14

{−⅓m + n = 5⅔

____________

1⅔m = −8⅓

____ ____

1⅔ 1⅔

`m = −5` [Plug this back into both equations above to get the n-value of 4];
`4 = m`

Therefore, our n-value is 4.

I am joyous to assist you anytime.