document.write( "Question 503937: elination method to solve this linear euation: 3x+7y=1
\n" ); document.write( " 2x+9y=5
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Algebra.Com's Answer #339452 by oberobic(2304)\"\" \"About 
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3x +7y = 1
\n" ); document.write( "2x + 9y = 5
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\n" ); document.write( "2(3x +7y) = 2(1)
\n" ); document.write( "6x + 14y = 2
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\n" ); document.write( "2x +9y = 5
\n" ); document.write( "3(2x +9y) = 3(5)
\n" ); document.write( "6x +27y = 15
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\n" ); document.write( "Now we're ready to use the elimination method for the 'x' term.
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\n" ); document.write( "6x + 14y = 2
\n" ); document.write( "6x +27y = 15
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\n" ); document.write( "0x -13y = -13
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\n" ); document.write( "y = 1
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\n" ); document.write( "Now substitute y=1 into one of the equations to find 'x'.
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\n" ); document.write( "3x +7y = 1
\n" ); document.write( "3x +7(1) = 1
\n" ); document.write( "3x + 7 = 1
\n" ); document.write( "3x = -6
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\n" ); document.write( "x = -2
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\n" ); document.write( "Always check your work.
\n" ); document.write( "Substitute these values into the other equation to be sure.
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\n" ); document.write( "2x + 9y = 5
\n" ); document.write( "2x =2(-2) = -4
\n" ); document.write( "9y = 9(1) = 9
\n" ); document.write( "-4 + 9 = 5
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: x=-2, y=1
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\n" ); document.write( "Done.\r
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