SOLUTION: One number is 11 less than 6 times another number. if their product is 7, find the numbers.

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Question 1121767: One number is 11 less than 6 times another number. if their product is 7, find the numbers.
Found 2 solutions by Shin123, MathTherapy:
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
system%286x-11=y%2Cxy=7%29
graph%28600%2C600%2C-15%2C15%2C-15%2C15%2C6x-11%2C7%2Fx%29
6x-11=7%2Fx Multiply each side by x to get
6x%5E2-11x=7
6x%5E2-11x-7=0
%282x%2B1%29%283x-7%29=0
system%28x=-1%2F2%2Cx=7%2F3%29 I assume you want the positive root so x=7/3 and y=3. Check, 7/3*6=14-11=3 (7/3)*3=7 The graph I have shown intersect at the points (7/3,3) and (-1/2,-14) as you notice or the solutions to x and y.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

One number is 11 less than 6 times another number. if their product is 7, find the numbers.