document.write( "Question 47656: - Determine how many solutions exist
\n" ); document.write( "- Use either elimination or substitution to find the solutions (if any)
\n" ); document.write( "- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection \r
\n" ); document.write( "\n" ); document.write( " 0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3 \n" ); document.write( "
Algebra.Com's Answer #31472 by stanbon(75887)\"\" \"About 
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0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3\r
\n" ); document.write( "\n" ); document.write( "Multiply thru both equations by 10 to get rid of the decimals:
\n" ); document.write( "1st: 2x+4y=17
\n" ); document.write( "2nd: 83x-63y=43
\n" ); document.write( "Multiply 1st by 83 to get:
\n" ); document.write( "3rd: 166x+332y=1411
\n" ); document.write( "Multiply 2nd by 2 to get:
\n" ); document.write( "4th: 166x-126y=86
\n" ); document.write( "Subtract 4th from 3rd to get:
\n" ); document.write( "458y=1325
\n" ); document.write( "y=2.893
\n" ); document.write( "Substitute into 1st or 2nd to solve for x:
\n" ); document.write( "2x+4(2.893)=17
\n" ); document.write( "2x=5.428
\n" ); document.write( "x=2.714
\n" ); document.write( "------------------
\n" ); document.write( "Check the answer in 2nd, as follows:
\n" ); document.write( "83(2.714)-63(2.893)=43
\n" ); document.write( "43.003 = 43
\n" ); document.write( "The discrepancy is due to dropping values beyond the 3rd place.\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
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