SOLUTION: My professor gave us this problem and he told us to answer it in ax+by=c form. We have never answered any of our exquations in that form so I am really confused. Can you help, Pl

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Question 29924: My professor gave us this problem and he told us to answer it in
ax+by=c form. We have never answered any of our exquations in that form so I am really confused. Can you help, Please!!
Problem: Find the equation of a line and express it in the form of ax+by=c
X+3y=7
4X+12y=-9
Thanks!!!!!
Sarah
Answer by Cintchr(481) (Show Source):
You can put this solution on YOUR website!
both of these are already in Ax+By=C form as opposed to y=mx+b
1X + 3y = 7
4X +12y =-9
if we multiply the top equation by -4 we get ...
-4x - 12y = -28
4x + 12y = -9 now we add tthe two equations
0x + 0y = -37
0 = -37 NO! this is a false statement. Lets see if we did it right.
lets look at the lines once more and this time solve each in y=mx+b format
and
and
and reduce the fractions in the second equation
In this form BOTH equations have m = -1/3
That means that these two lines are parallel and NEVER cross, therefore there is no Solution so :
was done correctly, but there is NO SOLUTION.