Katie is flying a kite on a windy day. when the kite is 15 m above the ground, the string of the kite makes an angle of 50° with the horizontal. if katie is holding the string 1 m above the ground, how much string has she released?

So the easiest method for this problem would be elimination. This is what you do...

-7x - 6y = 59
-1( -8x - 6y = 58)
New equations...

-7x - 6y = 59
 8x + 6y = 58    (Add equations)

1x = 1
Divide
x = 1
Now find the y value.
-7(1) - 6y = 59
-7 - 6y = 59 
Add 7 to both sides.
-6y = 66
Divide
y = -11
So your solution is ( 1, -11)
I hope this helps love! :)