document.write( "Question 1200279: at what poinT do the two lines intersect? what is the meaning of the point of the. intersection in the context of this problem?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Mikes repair shop: y=100+65X\r
\n" ); document.write( "\n" ); document.write( "Amys auto repair:Y=40+80X
\n" ); document.write( "

Algebra.Com's Answer #834372 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
Mikes repair shop: y=100+65X
\n" ); document.write( "Amys auto repair:Y=40+80X
\n" ); document.write( "the lines will intersect when 100 + 65x = 40 + 80x
\n" ); document.write( "subtract 65x from both sides of the equation and subtract 40 from both sides of the equation to get 60 = 15x
\n" ); document.write( "solve for x to get x = 60/15 = 4
\n" ); document.write( "when x = 4:
\n" ); document.write( "y = 100 + 65 * 4 = 360
\n" ); document.write( "y = 40 + 80 * 4 = 360
\n" ); document.write( "the common solution to both equations is when x = 4 and y = 360.
\n" ); document.write( "the interpretation is that the cost to do a repair in either mike's shop or amy's shop when the number of hours to repair the car is 4.
\n" ); document.write( "this is what the intersection of the two equation looks like on a graph.
\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );