document.write( "Question 1169670: Solve the following pair simultaneously equations.
\n" ); document.write( "3/5x - 4y = -1
\n" ); document.write( "0.8x - 3.5y = 1/2 \n" ); document.write( "
Algebra.Com's Answer #794505 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
if you have a calculator, then this is most easily done by using it.
\n" ); document.write( "you should save all intermediate results into a memory location so that as many of the decimal digits can be saved as possible.\r
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\n" ); document.write( "\n" ); document.write( "your original equations are:
\n" ); document.write( "3/5 * x - 4 * y = -1
\n" ); document.write( "0.8 * x - 3.5 * y = 1/2\r
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\n" ); document.write( "\n" ); document.write( "convert the equations to decimal form to get:
\n" ); document.write( ".6 * x - 4 * y = -1
\n" ); document.write( ".8 * x - 3.5 * y = .5\r
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\n" ); document.write( "\n" ); document.write( "multiply both sides of the first equation by 7 and multiply both sides of the second equation by 8 to get:
\n" ); document.write( "4.2 * x - 28 * y = -7
\n" ); document.write( "6.4 * x - 28 * y = 4\r
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\n" ); document.write( "\n" ); document.write( "subtract the first equation from the second to get:
\n" ); document.write( "2.2 * x = 11\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 11/2.2 = 5\r
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\n" ); document.write( "\n" ); document.write( "in the first equation, replace x with 5 to get:
\n" ); document.write( "3/5 * x - 4 * y = -1 becomes:
\n" ); document.write( "3/5 * 5 - 4 * y = -1 which becomes:
\n" ); document.write( "3 - 4 * y = -1
\n" ); document.write( "subtract 3 from both sides of the equation to get:
\n" ); document.write( "-4 * y = -4
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 1\r
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\n" ); document.write( "\n" ); document.write( "you have:
\n" ); document.write( "x = 5 and y = 1\r
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\n" ); document.write( "\n" ); document.write( "replace x and y with those values in both the original equations to get:\r
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\n" ); document.write( "\n" ); document.write( "3/5x - 4y = -1 becomes:
\n" ); document.write( "3/5 * 5 - 4 * 1 which becomes:
\n" ); document.write( "3 - 4 = -1 which becomes:
\n" ); document.write( "-1 = -1
\n" ); document.write( "this confirms the first equation is true when x = 5 and y = 1.\r
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\n" ); document.write( "\n" ); document.write( "0.8x - 3.5y = 1/2 becomes:
\n" ); document.write( ".8 * 5 - 3.5 * 1 = 1/2 which becomes:
\n" ); document.write( "4 - 3.5 = 1/2 which becomes:
\n" ); document.write( ".5 = 1/2 which becomes:
\n" ); document.write( "1/2 = 1/2
\n" ); document.write( "this confirms the second equation is true when x = 5 and y = 1.\r
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\n" ); document.write( "\n" ); document.write( "your solution is that x = 5 and y = 1\r
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\n" ); document.write( "\n" ); document.write( "the graph of both equations is shown below.\r
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\n" ); document.write( "\n" ); document.write( "the intersection point is at (x,y) = (5,1)\r
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\n" ); document.write( "\n" ); document.write( "that confirms graphically that your solution is at x = 5 and y = 1.\r
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