document.write( "Question 479610: Please help solve the system of equations
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document.write( "y=50+0.15(x-500) and y=105+0.10(x-650)\r
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document.write( "Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.\r
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document.write( "a. Explain each step used to solve the system of linear equations. Include the following in your explanation:
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document.write( "• The algebraic method used to solve the system of equations
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document.write( "• All mathematical operations used to solve the system of equations
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document.write( "• The solution of the system of equations
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Algebra.Com's Answer #328607 by mananth(16946)![]() ![]() You can put this solution on YOUR website! y=50+0.15(x-500) \n" ); document.write( "y= 50+0.15x-75 \n" ); document.write( "y-0.15x=-25 ........1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=105+0.10(x-650) \n" ); document.write( "y= 105 +0.10x-65 \n" ); document.write( "y-0.10x=40............2\r \n" ); document.write( "\n" ); document.write( "Use the elimination method to find x & y\r \n" ); document.write( "\n" ); document.write( "-0.15 x + 1 y = -25 .............1 \n" ); document.write( "-0.1 x + 1 y = 40 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -1 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "0.15 x -1 y = 25 \n" ); document.write( "-0.1 x + 1 y = 40 \n" ); document.write( "Add the two equations \n" ); document.write( "0.05 x = 65 \n" ); document.write( "/ 0.05 \n" ); document.write( "x = 1300 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "-0.15 x + 1 y = -25 \n" ); document.write( "-195 + 1 y = -25 \n" ); document.write( " 1 y = -25 + 195 \n" ); document.write( " 1 y = 170 \n" ); document.write( " y = 170\r \n" ); document.write( "\n" ); document.write( "The solution of system of equations (1300,170) \n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |