Question

Solve by elimination:
9x^2+y^2=85
2x^2-3y^2=6

Answer 1

(3,2)?

Answer 2

multiply the first equation by 3, and then add the second.
27x^2+3y^2=255
+2x^2-3y^2=6
29x^2=261
x^2=9
x=+3, -3. Back to the second equation
2(9)-3y^2=6
-3y^2=-12
y^2=4
y=2, -2.
So our answers are (3,2), (3,-2), (-3,2), and (-3, -2)

Answer 3

yes but include the negative cases as well since you're dealing with x^2 and y^2
x = +-3
y = +-2
4 solutions
(3,2)
(3,-2)
(-3,2)
(-3,-2)

Answer 4

Thanks guys :) Really appreciate the help