document.write( "Question 700524: 2x-3y=-1
\n" ); document.write( "Y=x-1
\n" ); document.write( "Slove system by subsitution \n" ); document.write( "

Algebra.Com's Answer #431852 by Stitch(470) $\"\"$ $\"About$

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Given:
\n" ); document.write( "Equation 1: $\"2X+-+3Y+=+-1\"$
\n" ); document.write( "Equation 2: $\"Y+=+X+-+1\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Since we know what Y is equal to, plug (X - 1) into equation 1 for Y
\n" ); document.write( "Equation 1: $\"2X+-+3Y+=+-1\"$
\n" ); document.write( " $\"2X+-+3%2A%28X+-+1%29+=+-1\"$
\n" ); document.write( "Multiply through
\n" ); document.write( " $\"2X+-+3X+%2B+3+=+-1\"$ Note that the two negative sign canceled out to give us positive 3
\n" ); document.write( "Now combine like terms
\n" ); document.write( " $\"-X+%2B+3+=+-1\"$
\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( " $\"-X+=+-4\"$
\n" ); document.write( "Divide both sides by -1
\n" ); document.write( " $\"highlight%28X+=+4%29\"$
\n" ); document.write( "Now plug 4 into equation 2 for X
\n" ); document.write( "Equation 2: $\"Y+=+X+-+1\"$
\n" ); document.write( " $\"Y+=+%284%29+-+1\"$
\n" ); document.write( " $\"highlight_green%28Y+=+3%29\"$ \n" ); document.write( "

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