document.write( "Question 71733: Solve each system by the substitution method.\r
\n" ); document.write( "\n" ); document.write( "3y-x=0
\n" ); document.write( "2y=4x-6 \n" ); document.write( "

Algebra.Com's Answer #51291 by funmath(2933) $\"\"$ $\"About$

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Solve each system by the substitution method.\r
\n" ); document.write( "\n" ); document.write( "L1 3y-x=0
\n" ); document.write( "L2 2y=4x-6
\n" ); document.write( ":
\n" ); document.write( "Isolate a variable on one side of the equal sign and substitute it into the other equation for that variable.
\n" ); document.write( "I'm going with L1.
\n" ); document.write( "3y-x=0
\n" ); document.write( "3y-x+x=0+x
\n" ); document.write( "3y=x
\n" ); document.write( "Let x in L2 be 3y and solve for y:
\n" ); document.write( "2y=4(3y)-6
\n" ); document.write( "2y=12y-6
\n" ); document.write( "2y-12y=12y-12y-6
\n" ); document.write( "-10y=-6
\n" ); document.write( "-10y/-10=-6/-10
\n" ); document.write( "y=3/5 or .6
\n" ); document.write( "Now substitute that in for y in L1 and solve for x.
\n" ); document.write( "3(3/5)-x=0
\n" ); document.write( "9/5-x=0
\n" ); document.write( "9/5-x+x=0+x
\n" ); document.write( "9/5=x
\n" ); document.write( "x=9/5 or 1.8
\n" ); document.write( "The solution (x,y)=(9/5,3/5) or (1.8,.6)
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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