document.write( "Question 1164912: Use two equations in two variables to solve the application. See Example 1. (Objective 1)\r
\n" ); document.write( "\n" ); document.write( "The salaries of the President and Vice President of a certain country total $682,400 a year. If the President makes $217,600 more than the Vice President, find each of their salaries. \n" ); document.write( "

Algebra.Com's Answer #789349 by ikleyn(53266) $\"\"$ $\"About$

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document.write( "Let x be the salary of the president and y be the salary of the Vice President.\r\n" );
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document.write( "Then from the condition, you have these two equations in two unknowns\r\n" );
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document.write( "    x + y = 682400   dollars     (1)\r\n" );
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document.write( "    x - y = 217600   dollars     (2)\r\n" );
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document.write( "Add equations (1) and (2).  You will get then\r\n" );
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document.write( "    2x = 682400 + 217600 = 900000\r\n" );
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document.write( "     x                   = 900000/2 = 450000.\r\n" );
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document.write( "Next, from equation (1), you find\r\n" );
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document.write( "    y = 682400 - 450000 = 232400.\r\n" );
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document.write( "ANSWER.  $450000 is the salary of the President  and  $232400  is the salary of the Vice President.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see one million other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Word problems that lead to a simple system of two equations in two unknowns \r
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