Question 1090975: Please help me here.
Ax+By=C
Dx+Ey=F
Solve the system for x and y
I got x=C-By/A
y= (AF-CD)/(AE-BD)
Not sure if I am right.
Thank you.
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
You can use Cramer's Rule to solve this. Let's define the following
- P = the matrix
 (notice it's the left hand side coefficients)
- Px = the matrix
 . I started with matrix P and I've replaced the first column with C and F, both of which are the right hand side values
- Py = the matrix
 . I started with matrix P ann replaced the second column with C and F, both of which are the right hand side values
The notation det(P) is the determinant of matrix P. Using the two-by-two matrix determinant rule we can say
Then you divide the determinants to get x and y
If we knew the values of A,B,C,D,E, and F, then we could compute the actual numeric values of x and y. However, since we don't know those six variables, we just leave it as shown above.
So the final answers are
Answer by ikleyn(52787)  (Show Source):
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