document.write( "Question 508201: solve by the elimination method\r
\n" ); document.write( "\n" ); document.write( "3x-2y=7
\n" ); document.write( "-x+5y=2 \n" ); document.write( "

Algebra.Com's Answer #340890 by oberobic(2304) $\"\"$ $\"About$

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3x - 2y = 7
\n" ); document.write( "-x + 5y = 2
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\n" ); document.write( "multiply the 2nd equation by 3 and add
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\n" ); document.write( " 3x - 2y = 7
\n" ); document.write( "-3x +15y = 6
\n" ); document.write( "--------------
\n" ); document.write( " 0x + 13y = 13
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\n" ); document.write( "13y = 13
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\n" ); document.write( "y = 1
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\n" ); document.write( "substitute y=1 to find 'x'
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\n" ); document.write( "3x -2y = 7
\n" ); document.write( "3x - 2(1) = 7
\n" ); document.write( "3x - 2 = 7
\n" ); document.write( "3x = 9
\n" ); document.write( "x = 3
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\n" ); document.write( "always check your work, so substitute these values into the 2nd equation to compare to the known answer
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\n" ); document.write( "-(3) + 5(1) = 2
\n" ); document.write( "correct.
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\n" ); document.write( "Answer: x=3, y = 1
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\n" ); document.write( "Done. \n" ); document.write( "

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