document.write( "Question 562075: solve each system using substitution.\r
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\n" ); document.write( "\n" ); document.write( "4x=3y-2
\n" ); document.write( "18=3x+y
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Algebra.Com's Answer #364442 by TutorDelphia(193)\"\" \"About 
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First we need to find out what x equals or y equals...it looks like it will be easy to get y alone in the second equation:
\n" ); document.write( "4x=3y-2
\n" ); document.write( "18=3x+y\r
\n" ); document.write( "\n" ); document.write( "18-3x=y\r
\n" ); document.write( "\n" ); document.write( "Now that we know y equals 18-3x I can plug in 18-3x anywhere I see a y
\n" ); document.write( "4x=3(18-3x)-2
\n" ); document.write( "Distribute the 3
\n" ); document.write( "4x=54-9x-2
\n" ); document.write( "combine like terms
\n" ); document.write( "4x=52-9x
\n" ); document.write( "Add 9x to both sides
\n" ); document.write( "13x=52
\n" ); document.write( "divide both sides by 13
\n" ); document.write( "x=4
\n" ); document.write( "Now that I know x=4 I can plug it into one of the equations:
\n" ); document.write( "4*4=3y-2
\n" ); document.write( "16=3y-2
\n" ); document.write( "Add 2 to both sides
\n" ); document.write( "18=3y
\n" ); document.write( "divide both sides by 3
\n" ); document.write( "y=6
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