# Homework Help: Solving system of equations

1. Feb 22, 2007

### duki

1. The problem statement, all variables and given/known data

y = 5x^2 + 1
x^2 + 6y2 = 21

2. Relevant equations

3. The attempt at a solution

I am not quite sure how to solve algebraically...
My parabola is this
x|y
0 1
1 6

ellipse
x|y
0 | 1.87
4.5 | 0

How can I manipulate the formula to solve the points which the ellipse crosses the parabola

2. Feb 22, 2007

### turdferguson

Try solvng for x^2 and plugging that into one equation. Then plug in each y solution to get 2 corresponding x solutions. At the end, check to make sure all your answers work in the original equations

3. Feb 22, 2007

### duki

Not sure what you mean... =/

4. Feb 23, 2007

### cristo

Staff Emeritus
Rearrange your second equation to give $x^2=21-6y^2$, then substitute this into the first equation $y=5x^2+1$. You will obtain a quadratic equation in y which you should be able to solve.