Question

show that the equation 11x + 8y + 17 = xy has 16 solutions and also list the solutions. pls help me

Answer 1

pls answer any1

Answer 2

checking right now, will post when answered

Answer 3

ok thanks but not forget to answer me
bye

Answer 4

do my best

Answer 5

they do not have to be integer values I pressume

Answer 6

there are more than 16 solutions.

11x+17=xy-8y
11x+17=y(x-8)

y=(11x+17)/(x-8)

plug in any x except for x=8 and you will get a corresponding y value. All of the solutions look like this.

Answer 7

example:

x=1

(11+17)/(1-8)=-4

11(1)+8(-4)+17=11-32+17=-4=(-4)(1)=yx

Answer 8

so (1,-4) is a solution. you can find the 16 you need this way

Answer 9

rsvitale is correct but you could be there all day plugging in values of x
You might notice that the odd values of x between 1 and including 7 work
giving (x,y) = (1, -4) (3, -10) (5, -24) and (7, -94)
You have 8 solutions now.
A way forward from here would possibly be to select useful negative x values.

Answer 10

...good to try these ideas but
the following solutions are what you need
(x,y) = (9, 116) (13, 32) (15, 26) and (25, 12)