document.write( "Question 181847: Method of Substitution
\n" ); document.write( "5. Find the point of intersection of each pair of lines.
\n" ); document.write( "a) 2x=y+5
\n" ); document.write( " 3x+y=-9
\n" ); document.write( "Pleaseeeeeeee and thank you very much!!!!! \n" ); document.write( "

Algebra.Com's Answer #136465 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
the intersection is the point (x,y) that
\n" ); document.write( "solves both equations
\n" ); document.write( "(a) $\"2x+=+y+%2B+5\"$
\n" ); document.write( "(b) $\"3x+%2B+y+=+-9\"$
\n" ); document.write( "Subtract $\"y\"$ from both sides of (a)
\n" ); document.write( "(b) $\"3x+%2B+y+=+-9\"$
\n" ); document.write( "(a) $\"2x+-+y++=+5\"$
\n" ); document.write( "Add (a) and (b)
\n" ); document.write( " $\"5x+=+-4\"$
\n" ); document.write( " $\"x+=+-%284%2F5%29\"$
\n" ); document.write( "Now plug this value of $\"x\"$ back into
\n" ); document.write( "either (a) or (b)
\n" ); document.write( "(a) $\"2%2A%28-%284%2F5%29%29+-+y++=+5\"$
\n" ); document.write( " $\"-%288%2F5%29+-+y+=+5\"$
\n" ); document.write( " $\"y+=+-%288%2F5%29+-+5\"$
\n" ); document.write( " $\"y+=+-%288%2F5%29+-+25%2F5\"$
\n" ); document.write( " $\"y+=+-%2833%2F5%29\"$
\n" ); document.write( "The intersection is at $\"x+=+-%284%2F5%29\"$ and $\"y+=+-%2833%2F5%29\"$
\n" ); document.write( "check answer:
\n" ); document.write( "(b) $\"3x+%2B+y+=+-9\"$
\n" ); document.write( "(b) $\"3%2A%28-%284%2F5%29%29+%2B+%28-%2833%2F5%29%29+=+-9\"$
\n" ); document.write( " $\"-%2812%2F5%29+-+%2833%2F5%29+=+-9\"$
\n" ); document.write( " $\"-%2845%2F5%29+=+-9\"$
\n" ); document.write( " $\"-9+=+-9\"$
\n" ); document.write( "OK
\n" ); document.write( "(a) $\"2x+-+y++=+5\"$
\n" ); document.write( " $\"2%2A%28-%284%2F5%29%29+-+%28-%2833%2F5%29%29+=+5\"$
\n" ); document.write( " $\"-%288%2F5%29+%2B+33%2F5+=+5\"$
\n" ); document.write( " $\"25%2F5+=+5\"$
\n" ); document.write( " $\"5+=+5\"$
\n" ); document.write( "OK \n" ); document.write( "

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