How do you solve the system y=2x3, x2+y2=2?

1 Answer
Nov 15, 2015

(75,15),(1.5)

Explanation:

Replace y with its equivalent based from the linear equation and solve for x

y=2x3

x2+y2=2

x2+(2x3)2=2

x2+4x212x+9=2

5x212x+9=2

5x212x+7=0

(5x7)(x1)=0

x=75,x=1

Now let's find the corresponding value of y

x=75

y=2(75)3
y=1453

y=14155

y=15


x=1

y=2(1)3

y=23

y=5