Solve using the elimination method. Show the work. Does the system have no solution or an infinite number of solutions? x + y = 10,
x – y = 2

Question

Solve using the elimination method. Show the work. Does the system have no solution or an infinite number of solutions? x + y = 10, 
x – y = 2

chaise · Answer

x+y=10
x-y=2

Take the two equations away from one another, remembering a positive minus a negative is a positive.

x+y=10
x-y=2
2y=8
y=4

Substitute this back into an original equation.

x+y=10
x+4=10
x=6

x-y=2
x-4=2
x=6

chaise · Answer

There is only one set of two possible solutions, one for x and one for y.

anonymous · Answer

I think my answer is x=6 and y=4. Thanks!

anonymous · Answer

I'm attempting to work on the problem(s) as I post them. Thanks! This reinforces concepts learned years ago:)