document.write( "Question 539738: Determine whether each system of linear equations has a) one and only one solution, b) infinitely many solutions, or c) no solution. Find all solutions whenever they exist.
\n" ); document.write( "2x-4y=5
\n" ); document.write( "3x+2y=6 \n" ); document.write( "

Algebra.Com's Answer #353532 by mananth(16946) $\"\"$ $\"About$

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2 x -4 y = 5 .............1
\n" ); document.write( "3 x + 2 y = 6 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1
\n" ); document.write( "Multiply (2) by 2
\n" ); document.write( "2 x -4 y = 5
\n" ); document.write( "6 x + 4 y = 12
\n" ); document.write( "Add the two equations
\n" ); document.write( "8 x = 17
\n" ); document.write( "/ 8
\n" ); document.write( "x = 2.13
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2 x + -4 y = 5
\n" ); document.write( "4.25 + -4 y = 5
\n" ); document.write( " -4 y = 5 -4.25
\n" ); document.write( " -4 y = 0.75
\n" ); document.write( " y = -0.19
\n" ); document.write( "They have only one solution ( 2.13,-0.19) \n" ); document.write( "

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