SOLUTION: 2x + 3y = 9 4x + 6y = 12 solve for x and y 2x = 9-3y x = (9/2)-(3y/2) 4((9/2)-(3y/2)) + 6y = 12 18-6y+6y=12 18=12 ???? what am I doing wrong? thanks

Question 105806: 2x + 3y = 9
4x + 6y = 12
solve for x and y
2x = 9-3y
x = (9/2)-(3y/2)
4((9/2)-(3y/2)) + 6y = 12
18-6y+6y=12
18=12 ????
what am I doing wrong?
thanks

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You're not doing anything wrong.
When you solve and get an answer like that.

that means that there are no x,y that make these equations true.
In other words, there is no solution. if
you look at the equations you can see why.
1.
2.
If I multiply the first equation by 2, I get the left hand side of the second equation but not the right hand side.
1.
2.
These equations are inconsistent.
Its like saying A=C and B=C, but A does not equal B.
It doesn't make sense.
You're correct in your derivation. No solution.
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