document.write( "Question 955279: two cars left the same intersection. one car traveled to the north. the other car traveled to the east. the car that went east drove 7 miles further than the car that traveled to the north. at that point the two cars were 13 miles aaway from each other. how far did each car travel? \n" ); document.write( "

Algebra.Com's Answer #583703 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
let x=distance of northbound car; x+7=eastbound car
\n" ); document.write( " $\"x%5E2%2B%28x%2B7%29%5E2=13%5E2\"$
\n" ); document.write( " $\"x%5E2%2Bx%5E2%2B14x%2B49=169\"$ Subtract 169 from each side.
\n" ); document.write( " $\"2x%5E2%2B14x-120=0\"$ Divide each side by 2.
\n" ); document.write( " $\"x%5E2%2B14x-120=0\"$
\n" ); document.write( " $\"%28x-5%29%28x%2B12%29=0\"$
\n" ); document.write( "x-5=0 or x+12=0
\n" ); document.write( "x=5 ANSWER 1: The northbound car traveled 5 miles.
\n" ); document.write( "x+7=5+7=12 mi ANSWER 2: The eastbound car traveled 12 miles.
\n" ); document.write( "CHECK:
\n" ); document.write( "They were separated by 13 miles
\n" ); document.write( " $\"13%5E2mi%5E2=5%5E2mi%5E2%2B12%5E2mi%5E2\"$
\n" ); document.write( " $\"169mi%5E2=25mi%5E2%2B144mi%5E2\"$
\n" ); document.write( " $\"169mi%5E2=169mi%5E2\"$ \n" ); document.write( "

\n" );