document.write( "Question 479610: Please help solve the system of equations
\n" ); document.write( "y=50+0.15(x-500) and y=105+0.10(x-650)\r
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "a. Explain each step used to solve the system of linear equations. Include the following in your explanation:
\n" ); document.write( "• The algebraic method used to solve the system of equations
\n" ); document.write( "• All mathematical operations used to solve the system of equations
\n" ); document.write( "• The solution of the system of equations
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Algebra.Com's Answer #328607 by mananth(16946)\"\" \"About 
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y=50+0.15(x-500)
\n" ); document.write( "y= 50+0.15x-75
\n" ); document.write( "y-0.15x=-25 ........1\r
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\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
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