The line x 7y=5 cuts the circle x^2 y^2=15 at the points P & Q. Find: a) P & Q. b) the midpoint of PQ.

4 answers

What mean x 7 y = 5 ?

x - 7 y = 5

x + 7 y = 5

x ^ 7 y = 5
there's a plus sign in btw x & 7y, d system prolly removed it.

x plus 7y=5
x^2 plus y^2=15
Put x=5-7y
Substitute in the circle
(5-7y)²+y²=15
Solve for the two values of y.
Find corresponding values of x to give two ordered pairs which are solutions to (a) for P and Q.
For (b), use the mid-point formula
M=((x1+x2)/2, (y1+y2)/2)

If you need further help, please post where you're up to and where you're stuck. You're welcome to post your answers for checking.
To solve for the two values of y