document.write( "Question 176174: Please help I believe these problems fall into the above catagory.
\n" ); document.write( "4. 7x – 2y = 8\r
\n" ); document.write( "\n" ); document.write( "-14x + 4y = 8\r
\n" ); document.write( "\n" ); document.write( "5. 7x – 2y = 8\r
\n" ); document.write( "\n" ); document.write( "-14x + 4y = -16\r
\n" ); document.write( "\n" ); document.write( " Solve the inequality:\r
\n" ); document.write( "\n" ); document.write( "3x – 2.5y = 7.125\r
\n" ); document.write( "\n" ); document.write( "2.5x - 3y = 7.3125\r
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Algebra.Com's Answer #131294 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
1.\"7x-2y=8\"
\n" ); document.write( "2.\"-14x%2B4y=8\"
\n" ); document.write( "Double eq.1 and add to eq. 2 to get rid of x.
\n" ); document.write( "\"2%287x-2y%29%2B%28-14x%2B4y%29=2%288%29%2B8\"
\n" ); document.write( "\"14x-4y-14x%2B4y=16%2B8\"
\n" ); document.write( "\"0=24\"
\n" ); document.write( "Inconsistent system, there is no solution.
\n" ); document.write( "These are two parallel lines that never meet, hence no solution.
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\n" ); document.write( "3.\"7x-2y+=+8\"
\n" ); document.write( "4.\"-14x%2B4y+=+-16\"
\n" ); document.write( "Double eq.3 and add to eq. 4 to get rid of x.
\n" ); document.write( "\"2%287x-2y%29%2B%28-14x%2B4y%29=2%288%29-16\"
\n" ); document.write( "\"14x-4y-14x%2B4y=16-16\"
\n" ); document.write( "\"0=0\"
\n" ); document.write( "Consistent, dependent system, there are infinite solutions.
\n" ); document.write( "These two lines are actually the same line. So all of the points on the line solve this system of equations.
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%288-7x%29%2F%28-2%29%29+\"
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\n" ); document.write( "5.\"3x-2.5y=7.125\"
\n" ); document.write( "6.\"5x+-+3y+=+7.3125\"
\n" ); document.write( "Let's multiply eq. 5 by 5 and eq. 6 by 3,then subtract to get rid of x.
\n" ); document.write( "\"5%283x-2.5y%29-3%285x-3y%29=5%287.125%29-3%287.3125%29\"
\n" ); document.write( "\"15x-12.5y-15x%2B9y=35.625-21.9375\"
\n" ); document.write( "\"-3.5y=13.6875\"
\n" ); document.write( "Change both left and right hand sides to a fractions before continuing,
\n" ); document.write( "\"-%287%2F2%29y=13%2B11%2F16\"
\n" ); document.write( "\"-%287%2F2%29y=208%2F16%2B11%2F16\"
\n" ); document.write( "\"-%287%2F2%29y=219%2F16\"
\n" ); document.write( "\"y=-219%2F16%2A%282%2F7%29\"
\n" ); document.write( "\"y=-219%2F16%2A%282%2F7%29\"
\n" ); document.write( "\"y=-219%2F56\"
\n" ); document.write( "From eq. 6,
\n" ); document.write( "6.\"5x+-+3y+=+7.3125\"
\n" ); document.write( "\"5x-3%28-219%2F56%29=7%2B5%2F16\"
\n" ); document.write( "\"5x%2B657%2F56=7%2B5%2F16\"
\n" ); document.write( "\"5x%2B657%2F56=112%2F16%2B5%2F16\"
\n" ); document.write( "\"5x%2B657%2F56=117%2F16\"
\n" ); document.write( "\"5x=117%2F16-657%2F56\"
\n" ); document.write( "\"5x=%28117%2F16%29%287%2F7%29-%28657%2F56%29%282%2F2%29\"
\n" ); document.write( "Common denominator is 112.
\n" ); document.write( "\"5x=819%2F112-1314%2F112\"
\n" ); document.write( "\"5x=-495%2F112\"
\n" ); document.write( "\"x=-99%2F112\"
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\n" ); document.write( "\n" ); document.write( "or approximately,
\n" ); document.write( "x=-.89
\n" ); document.write( "y=-3.91
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