document.write( "Question 1083497: How to solve:3x-y=23,x/3+y/4=4 using the method of elimination by equating coefficients.
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Algebra.Com's Answer #697481 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "3x - y = 23,   (1)\r\n" );
document.write( " = 4.      (2)\r\n" );
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document.write( "Multiply equation (2) by 12 (both sides) to rid off the denominators.  You will get\r\n" );
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document.write( "3x -  y = 23,   (1')\r\n" );
document.write( "4x + 3y = 48.   (2')\r\n" );
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document.write( "To eliminate \"y\", multiply the equation (1') by 3 (both sides). You will get\r\n" );
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document.write( "9x - 3y = 69,    (1'')\r\n" );
document.write( "4x + 3y = 48.    (2'')\r\n" );
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document.write( "Now add equations (1'') and (2'')  (both sides).  You will get\r\n" );
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document.write( "9x + 4x = 117  ====>  13x = 117  ====>  x =  = 9.\r\n" );
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document.write( "Now y = 3x - 23 = 3*9 - 23 = 27 - 23 = 4.\r\n" );
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document.write( "Answer.  x = 9,  y = 4.\r\n" );
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\n" ); document.write( "On solving systems of linear 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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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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