Question

What is the solution to this system of equations using the linear combination method?
5x+y=2
4x+y=5

(im really bad at math so an explanation would be helpful so i can understand better)

Answer 1

x= -3 y= 17 is the answer

Answer 2

Answer:

$\huge \boxed{x=-3 \ \mathrm{and} \ y=17}$

$\rule[225]{225}{2}$

Step-by-step explanation:

Subtracting both equations:

    5x + y = 2

 -  (4x + y = 5)

————————

1x + 0y = -3

x = -3

Substituting x = -3 for the second equation:

4(-3) + y = 5

Solving for y.

-12 + y = 5

y = 17

$\rule[225]{225}{2}$