document.write( "Question 123232: My question is can you help me solve this equation? This problem is a Substition.\r
\n" ); document.write( "\n" ); document.write( "x+2y=13
\n" ); document.write( "3x-5y=6\r
\n" ); document.write( "\n" ); document.write( "I do not understand how to find x and y for this equation. If you could help it would be great. Thank you.
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Algebra.Com's Answer #90428 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Discussion
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\n" ); document.write( "To solve a system of linear equations by substitution, you first solve one
\n" ); document.write( "of the equations for one of the variables to get an expression for that
\n" ); document.write( "variable in terms of the other. Then you substitute this expression into the
\n" ); document.write( "second equation giving you a single equation in a single variable that can be
\n" ); document.write( "solved by ordinary methods
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\n" ); document.write( "Solution
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\n" ); document.write( "\"x%2B2y=13\"
\n" ); document.write( "\"3x-5y=6\"\r
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\n" ); document.write( "\n" ); document.write( "Solve the first equation for x:
\n" ); document.write( "\"x%2B2y=13\"
\n" ); document.write( "Add -2y to both sides
\n" ); document.write( "\"x=13-2y\"\r
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\n" ); document.write( "\n" ); document.write( "Take this expression for x and substitute it into the second equation:
\n" ); document.write( "\"cartoon%283%2Ared%28x%29-5y=6%2C3%2Ared%28%2813-2y%29%29-5y=6%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now solve:
\n" ); document.write( "\"3%2813-2y%29-5y=6%29\"
\n" ); document.write( "\"39-6y-5y=6\"
\n" ); document.write( "\"-11y=6-39\"
\n" ); document.write( "\"-11y=-33\"
\n" ); document.write( "\"y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Now that you know the value of y, you can substitute it into either of the
\n" ); document.write( "original equations and solve for x
\n" ); document.write( "\"x%2B2%283%29=13\"
\n" ); document.write( "\"x%2B6=13\"
\n" ); document.write( "\"x=7\"\r
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\n" ); document.write( "\n" ); document.write( "So the solution set for the system is the ordered pair (7,3)\r
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\n" ); document.write( "Check Answer
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\n" ); document.write( "\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%2F2%2B13%2F2%2C3x%2F5-6%2F5%29\"\r
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\n" ); document.write( "\n" ); document.write( "Note that the two lines intersect at the point (7,3)
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