can you show me how to solve linear systems step by step?????

Question

2x+y=5
x-y=1

Answer 1

Take the two equation two unknown down to one unknown by either adding or subtracting the second equation from the first so that one of the uknowns is removed.

2x+y=5
+ x-y=1
--------------
3x=6
x=2

Then plug the newly found x value into one of the equations to find y. In this case:

2(2)+y=5
y=5-4
y=1

Verify by inserting the values for both x and y into the equations to make sure they work.