document.write( "Question 939781: Given ST bisects angle RSV
\n" ); document.write( " m of angle RST =2x+3y
\n" ); document.write( " m of angle TSV = 3x-y+2
\n" ); document.write( " m of angle RSV = 80 degrees \r
\n" ); document.write( "\n" ); document.write( "Find x and y. \r
\n" ); document.write( "\n" ); document.write( "I am not sure how y and x separate ? please help! can you show me how to do this? \n" ); document.write( "

Algebra.Com's Answer #572715 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "if $\"ST\"$ bisects angle $\"RSV\"$ means divides angle into two equal parts, angle $\"RST\"$ and angle $\"TSV\"$
\n" ); document.write( "it means $\"m\"$ < $\"RSV\"$ = $\"m\"$ < $\"RST\"$ + $\"m\"$ < $\"TSV\"$ \r
\n" ); document.write( "\n" ); document.write( " if $\"m\"$ < $\"RST+=2x%2B3y\"$
\n" ); document.write( " $\"m\"$ < $\"TSV+=+3x-y%2B2\"$
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\n" ); document.write( " $\"m\"$ < $\"RSV+=+80\"$ degrees \r
\n" ); document.write( "\n" ); document.write( "and if $\"m\"$ < $\"RSV\"$ = $\"m\"$ < $\"RST\"$ + $\"m\"$ < $\"TSV\"$ , then\r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"2x%2B3y=40\"$ ........eq.1
\n" ); document.write( " $\"m\"$ < $\"+3x-y%2B2=40\"$ ......eq.2
\n" ); document.write( "-----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "solve the system:
\n" ); document.write( " $\"2x%2B3y=40\"$ ........eq.1
\n" ); document.write( " $\"+3x-y%2B2=40\"$ ......eq.2....both sides multiply by $\"3\"$
\n" ); document.write( "-----------------------\r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B3y=40\"$ ........eq.1
\n" ); document.write( " $\"+9x-3y%2B6=120\"$ ......eq.2.
\n" ); document.write( "------------------------------------add\r
\n" ); document.write( "\n" ); document.write( " $\"2x%2Bcross%283y%29%2B9x-cross%283y%29%2B6=40%2B120\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B9x%2B6=160\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"11x=160-6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"11x=154\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=154%2F11\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=14\"$
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\n" ); document.write( "go to $\"+3x-y%2B2=40\"$ ......eq.2 substitute $\"14\"$ for $\"x\"$ and solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+3%2A14-y%2B2=40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+42-y%2B2=40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+44-40=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+4=y\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the $\"m\"$ < $\"RST\"$ and $\"m\"$ < $\"TSV\"$ is:\r
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\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"RST+=2x%2B3y\"$ => $\"m\"$ < $\"RST+=2%2A14%2B3%2A4\"$ $\"m\"$ < $\"RST+=28%2B12\"$ => $\"m\"$ < $\"RST+=40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"TSV+=+3x-y%2B2\"$ => $\"m\"$ < $\"TSV+=+3%2A14-4%2B2\"$ => $\"m\"$ < $\"TSV+=+42-4%2B2\"$ => $\"m\"$ < $\"TSV+=+44-4\"$ => $\"m\"$ < $\"TSV+=40\"$ \r
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