# Math Help - Non Linear Equations!

1. ## Non Linear Equations!

Solve the non-linear system of equations for real solutions

1. x^2 + 3y^2 = 3

x+y = 8

2. y = 4x^2 +5

x+y = -8

3. y = x^2 + 2

y = -x^2 + 4

2. Originally Posted by Croyt

Solve the non-linear system of equations for real solutions

1. x^2 + 3y^2 = 3

x+y = 8

2. y = 4x^2 +5

x+y = -8

3. y = x^2 + 2

y = -x^2 + 4

For the first two use the second (linear) equation to solve for, say, y in terms of x. Then plug that into the non-linear equation and solve for x.

In the case of the last one the system is already in a nice form for you. The two y's are equal to each other, so
$x^2 + 2 = -x^2 + 4$
Solve for x.

-Dan