SOLUTION: Ax +by =c and dx+ey=f pls make x and y the subject of the formula

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Question 961539: Ax +by =c and dx+ey=f pls make x and y the subject of the formula
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.ax%2Bby=c
2.dx%2Bey=f
From eq. 1,
ax=c-by
x=c%2Fa-%28b%2Fa%29y
Substitute into eq. 2,
d%28c%2Fa-%28b%2Fa%29y%29%2Bey=f
%28dc%29%2Fa-%28%28db%29%2Fa%29y%2Bey=f
y%28e-%28db%29%2Fa%29=f-%28dc%29%2Fa
y=%28f-%28dc%29%2Fa%29%2F%28e-%28db%29%2Fa%29
highlight%28y=%28af-dc%29%2F%28ae-db%29%29
Then,
x=c%2Fa-%28b%2Fa%29%28%28af-dc%29%2F%28ae-db%29%29
ax=c%28%28ae-db%29%2F%28ae-db%29%29-b%28%28af-dc%29%2F%28ae-db%29%29
ax=%28aec-dbc%29%2F%28ae-db%29-%28abf-dbc%29%2F%28ae-db%29
ax=%28aec-dbc-abf%2Bdbc%29%2F%28ae-db%29
ax=%28aec-abf%29%2F%28ae-db%29
highlight%28x=%28ec-bf%29%2F%28ae-db%29%29