Posted by **strawerryfields** on Tuesday, January 20, 2009 at 5:52pm.

x = 3 - y^2

y = x - 3

Find the points of intersection.

If someone could even get me to the point where it gets written in general form (both equations set to 0..) I would be forever grateful.

- math -
**Reiny**, Tuesday, January 20, 2009 at 6:50pm
sub the second equation into the first, so

x = 3 - (x-3)^2

x = 3 - (x^2 - 6x + 9)

x^2 - 5x + 6 = 0

(x-2)(x-3) = 0

x = 2 or x = 3

if x = 2, then y = 2-3 = -1

if x = 3, then y = 3-3 = 0

so they intersect at (2,-1) and (3,0)

## Answer This Question

## Related Questions

- Math - How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x...
- Math - How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x...
- Quadratic Equations - The question is Is the point (-3, -2) a solution of the ...
- Math (Finding points of intersection) - Find the points of intersections of ...
- Vectors - I am really lost and confused! Consider the lines r = (1,-1,1) + t(3,2...
- Calc - Describe the given set with a single equation or with a pair of equations...
- Anonymous - Give the exact intersection point for the equations f(x)=4sin^2x+...
- Math - Part 1: When writing linear equations, how do you determine which form of...
- Calculus - Determine the intersection, if any, of the planes with equations x + ...
- Calculus - Determine the intersection, if any, of the planes with equations x + ...

More Related Questions