document.write( "Question 509684: {3/2x+9=y
\n" ); document.write( "{4y-6x=36
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Algebra.Com's Answer #341545 by mananth(16946)\"\" \"About 
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(3/2)x+9=y
\n" ); document.write( "multiply equation by 2 the LCD
\n" ); document.write( "3x+18=2y
\n" ); document.write( "3x-2y=18................1
\n" ); document.write( "4y-6x=36................2
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\n" ); document.write( "multiply (1)by -2
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-6 x 4 y = -36
\n" ); document.write( "4y=6x-36
\n" ); document.write( "-6 x 4 y = 36
\n" ); document.write( "4y=6x+36
\n" ); document.write( "you will observe that the slopes of the two equations are same (3/2)\r
\n" ); document.write( "\n" ); document.write( "and the intercepts are different ( +36 & -36)\r
\n" ); document.write( "\n" ); document.write( "so the lines are parallel.
\n" ); document.write( "They have no solution.
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