document.write( "Question 68856: Use the substitution method to solve the linear system\r
\n" ); document.write( "\n" ); document.write( "x+y=12
\n" ); document.write( "x+3/2y=3/2
\n" ); document.write( "

Algebra.Com's Answer #48995 by checkley71(8403)\"\" \"About 
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x+y=12
\n" ); document.write( "x=12-y now replace x by (12-y) in the other equation thus:
\n" ); document.write( "(12-y)+3/2y=3/2
\n" ); document.write( "12-y+3/2y=3/2
\n" ); document.write( "-y+1.5y=1.5-12
\n" ); document.write( ".5y=-10.5
\n" ); document.write( "y=-10.5/.5
\n" ); document.write( "y=-21 answer.
\n" ); document.write( "now substitute 21 for y and solve for x thus:
\n" ); document.write( "x-21=12
\n" ); document.write( "x=12+21
\n" ); document.write( "x=33 answer
\n" ); document.write( "proof
\n" ); document.write( "33+3/2*-21=3/2
\n" ); document.write( "33-63/2=3/2
\n" ); document.write( "33-31.5=1.5
\n" ); document.write( "1.5=1.5
\n" ); document.write( "
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