document.write( "Question 793274: find x and y
\n" ); document.write( "systems : $\"+3%5E%28x%2B1%29+%2B+4%285%5Ey%29+=+24+\"$ and $\"+3%5Ex+-+2%285%5Ey%29+=+-2+\"$ \n" ); document.write( "

Algebra.Com's Answer #480296 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+3%5E%28x%2B1%29+%2B+4%285%5Ey%29+=+24+\"$ and $\"+3%5Ex+-+2%285%5Ey%29+=+-2+\"$
\n" ); document.write( "Divide both sides of the 1st expression by $\"+3+\"$
\n" ); document.write( " $\"+3%5Ex+%2B+%284%2F3%29%2A%285%5Ey%29+=+8+\"$
\n" ); document.write( " $\"+3%5Ex+=+-%284%2F3%29%2A%285%5Ey%29+%2B+8+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Substitute the right side into the 2nd equation
\n" ); document.write( " $\"+-%284%2F3%29%2A%285%5Ey%29+%2B+8+-+2%285%5Ey%29+=+-2+\"$
\n" ); document.write( " $\"+-%284%2F3%29%2A%285%5Ey%29+-+2%285%5Ey%29+=+-10+\"$
\n" ); document.write( " $\"+-%282%2F3%29%2A%285%5Ey%29+-+5%5Ey+=+-5+\"$
\n" ); document.write( " $\"+5%5Ey+%2A%28+1+%2B+2%2F3+%29+=+5%0D%0A%7B%7B%7B+%285%2F3%29%2A5%5Ey+=+5+\"$
\n" ); document.write( "(*) $\"+5%5Ey+=+3+\"$
\n" ); document.write( " $\"+y%2Alog%285%29+=+log%283%29+\"$
\n" ); document.write( " $\"+y+=+log%283%29%2Flog%285%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Now substitute (*) back into one of the equations
\n" ); document.write( " $\"+3%5Ex+-+2%285%5Ey%29+=+-2+\"$
\n" ); document.write( " $\"+3%5Ex+-+2%2A3+=+-2+\"$
\n" ); document.write( " $\"+3%5Ex+=+4+\"$
\n" ); document.write( " $\"+x%2Alog%283%29+=+log%284%29+\"$
\n" ); document.write( " $\"+x+=+log%284%29%2Flog%283%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "I'll leave it to you to check answers\r
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