document.write( "Question 961539: Ax +by =c and dx+ey=f pls make x and y the subject of the formula \n" ); document.write( "

Algebra.Com's Answer #587625 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"ax%2Bby=c\"$
\n" ); document.write( "2. $\"dx%2Bey=f\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"ax=c-by\"$
\n" ); document.write( " $\"x=c%2Fa-%28b%2Fa%29y\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"d%28c%2Fa-%28b%2Fa%29y%29%2Bey=f\"$
\n" ); document.write( " $\"%28dc%29%2Fa-%28%28db%29%2Fa%29y%2Bey=f\"$
\n" ); document.write( " $\"y%28e-%28db%29%2Fa%29=f-%28dc%29%2Fa\"$
\n" ); document.write( " $\"y=%28f-%28dc%29%2Fa%29%2F%28e-%28db%29%2Fa%29\"$
\n" ); document.write( " $\"highlight%28y=%28af-dc%29%2F%28ae-db%29%29\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x=c%2Fa-%28b%2Fa%29%28%28af-dc%29%2F%28ae-db%29%29\"$
\n" ); document.write( " $\"ax=c%28%28ae-db%29%2F%28ae-db%29%29-b%28%28af-dc%29%2F%28ae-db%29%29\"$
\n" ); document.write( " $\"ax=%28aec-dbc%29%2F%28ae-db%29-%28abf-dbc%29%2F%28ae-db%29\"$
\n" ); document.write( " $\"ax=%28aec-dbc-abf%2Bdbc%29%2F%28ae-db%29\"$
\n" ); document.write( " $\"ax=%28aec-abf%29%2F%28ae-db%29\"$
\n" ); document.write( " $\"highlight%28x=%28ec-bf%29%2F%28ae-db%29%29\"$ \r
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