document.write( "Question 1041322: 2x + 9y = 29
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Algebra.Com's Answer #656314 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "2x + 9y = 29,           (1)\r\n" );
document.write( "-5x + y = 45            (2)\r\n" );
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document.write( "I will show you how to solve it by applying the Substitution method.\r\n" );
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document.write( "From the equation (2), express \"y\" via x  y = 45 + 5x. \r\n" );
document.write( "Next substitute this expression for \"y\" into equation (1). Then (1) takes the form\r\n" );
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document.write( "2x + 9*(45+5x) = 29.    (3)\r\n" );
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document.write( "Now simplify and solve it:\r\n" );
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document.write( "2x + 405 + 45x = 29  --->  47x = 29 - 405  --->  47x = -376  --->  x =  = -8.\r\n" );
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document.write( "Thus we got x = -8.  Then from (2) y = 45 + 5x = 45 + 5*(-8) = 5.\r\n" );
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document.write( "Please check yourself the answer.\r\n" );
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document.write( "Answer.  x = -8, y = 5.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On solution systems of two equations in two unknowns see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of a linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "    - Solving word problems using linear systems of two equations in two unknowns \r
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