document.write( "Question 967172: How to I find the point of intersection between y=-3.3/23.7*x+437/79 and y = 9.75/-10*x+8.675? Can you please use the elimination or substitution method. Thanks! \n" ); document.write( "
Algebra.Com's Answer #591130 by macston(5194)\"\" \"About 
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\n" ); document.write( "\"y=%28-3.3%2F23.7%29x%2B437%2F79\"
\n" ); document.write( "\"y+=%289.75%2F-10%29x%2B8.675\" Use first equation to substitute for y.
\n" ); document.write( ".
\n" ); document.write( "\"%28-3.3%2F23.7%29x%2B%28437%2F79%29=%289.75%2F-10%29x%2B8.675\" Convert fractions to decimals.
\n" ); document.write( ".
\n" ); document.write( "\"0.139x%2B5.532=-0.975x%2B8.675\" Add 0.975x to each side.
\n" ); document.write( "\"1.114x%2B5.532=8.675\" Subtract 5.532 from each side.
\n" ); document.write( "\"1.114x=3.143\" Divide each side by 1.114.
\n" ); document.write( "\"x=2.821\" Use this in first equation and solve for y.
\n" ); document.write( ".
\n" ); document.write( "\"y=%28-3.3%2F23.7%29x%2B437%2F79\"
\n" ); document.write( "\"y=%28-3.3%2F23.7%29%282.821%29%2B437%2F79\"
\n" ); document.write( "\"y=%280.139%29%282.821%29%2B%285.532%29\"
\n" ); document.write( "\"y=%280.392%29%2B%285.532%29\"
\n" ); document.write( "\"y=5.924\"
\n" ); document.write( "ANSWER: The solution to the system is (2.821,5.924)
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\n" ); document.write( "CHECK:
\n" ); document.write( "Use second equation to check.
\n" ); document.write( "\"y+=%289.75%2F-10%29x%2B8.675\" Plug in values.
\n" ); document.write( "\"5.924=%289.75%2F-10%29%282.821%29%2B8.675\"
\n" ); document.write( "\"5.924=%28-0.975%29%282.821%29%2B8.675\"
\n" ); document.write( "\"5.924=%28-2.750%29%2B8.675\"
\n" ); document.write( "\"5.924=5.924\"
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