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

2x+y=5
x-y=1

1 answer

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.