document.write( "Question 924748: system of linear equations\r
\n" ); document.write( "\n" ); document.write( "A cyclist traveled a certain distance at her usual speed. If her speed had been 2 mi/hr faster, she would have traveled the distance in 1 hr less time. If her speed had been 2 mi/hr slower, she would have taken 2 hr longer. Find the distance traveled and her usual speed.
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Algebra.Com's Answer #561066 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
r, usual speed\r
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\n" ); document.write( "\n" ); document.write( "____________________speed__________time__________distance
\n" ); document.write( "Usual________________r_____________t_____________d
\n" ); document.write( "Faster______________r+2___________t-1____________d
\n" ); document.write( "Slower______________r-2___________t+2____________d\r
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\n" ); document.write( "\n" ); document.write( "EQUATIONS
\n" ); document.write( "\"system%28rt=d%2C%28r%2B2%29%28t-1%29=d%2C%28r-2%29%28t%2B2%29=d%29\"
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\n" ); document.write( "\"system%28rt=d%2Crt%2B2t-r-2=d%2Crt-2t%2B2r-4=d%29\"
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\n" ); document.write( "\"system%28rt=d%2Cd%2B2t-r-2=d%2Cd-2t%2B2r-4=d%29\"
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\n" ); document.write( "\"system%28rt=d%2C2t-r-2=0%2C-2t%2B2r-4=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "Use the second and third equations of the simplified system and the Elimination Method to get values for r and for t. You can then use them in any of the equations to find value for d.
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