SOLUTION: Please help me find the solution to the systems: x+2y=4 y=-1/2x+2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help me find the solution to the systems: x+2y=4 y=-1/2x+2      Log On


   

Question 253274: Please help me find the solution to the systems:
x+2y=4
y=-1/2x+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B2y=4 Start with the first equation.


x%2B2%28-%281%2F2%29x%2B2%29=4 Plug in y=-%281%2F2%29x%2B2


x-x%2B4=4 Distribute


0x%2B4=4 Combine like terms on the left side.


0x=4-4 Subtract 4 from both sides.


0x=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is ALWAYS true for any x value, this means x can equal any number.


So there are an infinite number of solutions.