SOLUTION: What is the distance formula? How do you solve the problem: x-3y=17 2x+y=6 (using the sustitution method) A cable 50ft long is cut into two pie

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Question 63887: What is the distance formula?
How do you solve the problem: x-3y=17
2x+y=6 (using the sustitution method)
A cable 50ft long is cut into two pieces so that one piece is 6ft longer than the othe. How long is each piece?

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
THE DISTANCE FORMULA FOR VEHICLES/BOATS/PLANES/BICYCLES/ETC. IS
DISTANCE = RATE*TIME
EX. MILES=45 MPH*3 HOURS
MILES=45*3
MILES=135
-----------------------------------------------------------------
X-3Y=17 OR X=3Y+17
2X+Y=6 SINCE X=(3Y+17) WE SUBSTITUTE (3Y+17) FOR X IN THIS FORMULA
2(3Y+17)+Y=6
6Y+34+Y=6
7Y=6-34
7Y=-28
Y=-28/7
Y=-4 SOLUTION. NOW REPLACE Y WITH -4 AND SOLVE FOR X
X-3*-4=17
X+12=17
X=17-12
X=5 SOLUTION
PROOF
2*5-4=6
10-4=6
6=6

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