X + y = 5; x - y = 3 solve using linear combination

x = 4

y = 1

Step-by-step explanation:

use one equation to solve for one variable.

y = 5 - x

Now plug the value of y in the other equation

x - (5-x) = 3

x+x = 3+5

2x=8

x=4

Now use the value of x to find the value of y on the first equation

y = 5 - x

y = 5 - 4

y = 1