Solve the following nonlinear system algebraically. \left \{ {{y-9=2x} \atop {5x^2+y^2=54}} \right.

Question

Solve the following nonlinear system algebraically.


`\left \{ {{y-9=2x} \atop {5x^2+y^2=54}} \right.`

Answer 1

y-9=2x
-9 -9
y=2x+9
5x2+(2x+9)^2=54


(-3, 3)
(-1, 7)

Answer 2

x=-1,y=7

x=-3,y=3

Explanation:

y=2x+9

5x^2+(2x+9)^2=54

0=(3x+9)(3x+3)