SOLUTION: Please help me solve this - Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solutions or infinitel

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me solve this - Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solutions or infinitel      Log On


   

Question 74368: Please help me solve this -
Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solutions or infinitely many solutions. +2x+=+3+-+x and 2y+=+12+-+x+.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+2x+=+3+-+xAdd x to both sides
3x=3Divide both sides by 3
x=1Plug this into x
2y+=+12+-+x+
2y+=+12+-+%281%29+
2y=11
y=11%2F2
So our solution is (1,11/2)


Check:
+2%281%29+=+3+-+1
+2+=+2works
2y+=+12+-+x+plug in x=1 and y=11/2
cross%282%29%2811%2Fcross%282%29%29+=+12+-+1+
11+=+11+works