document.write( "Question 982010: 4x-y=5 4x+4y=-4 solve the linear system using subtraction \n" ); document.write( "
Algebra.Com's Answer #602882 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "You have a linear system of two equations in two unknowns\r
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\n" ); document.write( "\n" ); document.write( "\"system%284x-y=5%2C+%0D%0A4x%2B4y=-4%29\".\r
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\n" ); document.write( "\n" ); document.write( "Subtract the second equation from the first one.  You will get a single equation in one unknown\r
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\n" ); document.write( "\n" ); document.write( "-y - 4y = 5 - (-4),   or\r
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\n" ); document.write( "\n" ); document.write( "-5y = 5 + 4,  or\r
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\n" ); document.write( "\n" ); document.write( "5y = -9.\r
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\n" ); document.write( "\n" ); document.write( "Hence,  y = \"-9%2F5\" = -1.8.\r
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\n" ); document.write( "\n" ); document.write( "Now,  substitute this value of  y  into the first equation of the original system.  You will have \r
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\n" ); document.write( "\n" ); document.write( "4x - (-1.8) = 5, \r
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\n" ); document.write( "\n" ); document.write( "4x = 5 - 1.8,\r
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\n" ); document.write( "\n" ); document.write( "4x = 3.2,\r
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\n" ); document.write( "\n" ); document.write( "x = \"3.2%2F4\" = 0.8.\r
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\n" ); document.write( "\n" ); document.write( "Answer.  x = 0.8, y = -1.8.\r
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