document.write( "Question 68635: What is the soulution of this system.
\n" ); document.write( " $\"x+%2B+2y+=+13\"$
\n" ); document.write( " $\"3x+-+5y+=+6\"$ \n" ); document.write( "

Algebra.Com's Answer #48929 by rmromero(383) $\"\"$ $\"About$

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$\"x+%2B+2y+=+13\"$
\n" ); document.write( " $\"3x+-+5y+=+6\"$
\n" ); document.write( "Here are the Steps using Substition method
\n" ); document.write( "1. In either equation, solve for one variable in terms of the other. Solve x in terms of y.
\n" ); document.write( " $\"x+%2B+2y+=+13\"$
\n" ); document.write( "x = -2y + 13
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\n" ); document.write( "2. Substitute for that variable in the other equation. Solve for y.
\n" ); document.write( " $\"3x+-+5y+=+6\"$
\n" ); document.write( "3(-2y +13) - 5y = 6
\n" ); document.write( "3(-2y) + 3(13) - 5y = 6
\n" ); document.write( "-6y + 39 - 5y = 6
\n" ); document.write( "-11y = -33
\n" ); document.write( " $\"highlight+%28y+=+3%29\"$
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\n" ); document.write( "3. Substitute the result from step 2 in either equation. Solve for the other variable.
\n" ); document.write( " $\"x+%2B+2y+=+13\"$ , y = 3
\n" ); document.write( "x + 2(3) = 13
\n" ); document.write( "x + 6 = 13
\n" ); document.write( " $\"highlight+%28x+=+7%29\"$
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\n" ); document.write( "4. Check the solution in both original equations.
\n" ); document.write( " $\"x+%2B+2y+=+13\"$ , y = 3, x = 7
\n" ); document.write( "7 + 2(3) = 13
\n" ); document.write( "7 + 6 = 13 ------------>> True\r
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\n" ); document.write( " $\"3x+-+5y+=+6\"$ , y = 3, x = 7
\n" ); document.write( "3(7) - 5(3) = 6
\n" ); document.write( "21 - 15 = 6
\n" ); document.write( "6 = 6 ------------>> True\r
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