document.write( "Question 55615: find the point of intersection for the lines below using the substitution
\n" ); document.write( "3x+2y=4
\n" ); document.write( "y=1-2x
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Algebra.Com's Answer #37782 by Cintchr(481)\"\" \"About 
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\"+3x%2B2y=4+\"
\n" ); document.write( "\"+y=1-2x+\"
\n" ); document.write( "Substitute the second equation into the first
\n" ); document.write( "\"+3x%2B2%281-2x%29=4+\"
\n" ); document.write( "Distribute
\n" ); document.write( "\"+3x%2B2+-4x+=4+\"
\n" ); document.write( "combine like terms on the left
\n" ); document.write( "\"+2+-+1x+=+4+\"
\n" ); document.write( "subtract 2 from both sides
\n" ); document.write( "\"+-1x+=+2+\"
\n" ); document.write( "divide both sides by -1
\n" ); document.write( "\"+x+=+-2+\"\r
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\n" ); document.write( "\n" ); document.write( "Plug this value bac into the 2nd equation
\n" ); document.write( "\"+y=1-2x+\"
\n" ); document.write( "\"+y=1-2%28-2%29+\"
\n" ); document.write( "Multiply
\n" ); document.write( "\"+y=1%2B4+\"
\n" ); document.write( "Add
\n" ); document.write( "\"+y+=5+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The point of intersection of the two lines is (-2,5)
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