SOLUTION: MOM needs HELP... Solve the system using the method of your choice and tell how many solutions the system has. x + y = 1 x + y = 3

Algebra ->  Linear-equations -> SOLUTION: MOM needs HELP... Solve the system using the method of your choice and tell how many solutions the system has. x + y = 1 x + y = 3      Log On


   

Question 26613: MOM needs HELP...
Solve the system using the method of your choice and tell how many solutions the system has.
x + y = 1
x + y = 3
Found 2 solutions by longjonsilver, venugopalramana:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Here you go mom,

this set of equations has no solutions. The 2 equations are parallel to each other...they will never cross to give a solution.

Jon.

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system using the method of your choice and tell how many solutions the system has.
x + y = 1
x + y = 3
NO SOLUTION.THESE ARE INCONSISTENT EQUATIONS.BECAUSE ON THE LEFT HAND SIDE BOTH ARE SAME ...X+Y....
WHERE AS ON THE RIGHT HAND SIDE THERE ARE 2 DIFFERENT NUMBERS 1 AND 3.
SO,IF WE SATISFY THE FIRST EQUATION,TKING X AND Y SUCH THAT THEIR SUM IS 1 , THEN WE CAN NOT SATISFY THE SECOND EQUATION TO GET THE SAME X AND Y TO ADD UP TO 3...AND VICEVERSA.