SOLUTION: Given the following independent system of equations Ax + By = C Dx + Ey =F where A, B, C, D, E, and F are non-zero Real Numbers. Find any values of A, B, C, D, E, and F that wo

Algebra ->  Systems-of-equations -> SOLUTION: Given the following independent system of equations Ax + By = C Dx + Ey =F where A, B, C, D, E, and F are non-zero Real Numbers. Find any values of A, B, C, D, E, and F that wo      Log On


   

Question 1099066: Given the following independent system of equations
Ax + By = C
Dx + Ey =F
where A, B, C, D, E, and F are non-zero Real Numbers. Find any values of A, B, C, D, E, and F
that would give you a solution of (2, -1).

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Choose A and B and solve for C.
Remember that C cannot equal zero.
Let A=1,B=3,
1%282%29%2B3%28-1%29=C
C=2-3
C=-1
,
,
,
Similarly, choose D and E and solve for F same as above.
Also,
D%2FA%3C%3EE%2FB to maintain linear independence (you don't want the same line).
Let D=-1,E=2,
-1%282%29%2B2%28-1%29=F
F=-2-2
F=-4
.
.
x%2B3y=-1
+-x%2B2y=-4+