# math

posted by .

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 -

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)

## Similar Questions

1. ### Vectors

I am really lost and confused! Consider the lines r = (1,-1,1) + t(3,2,1) and r = (-2,-3,0) + u(1,2,3). a) Find their point of intersection. b) Find a vector equation for the line perpendicular to both of the given lines that passes …
2. ### Anonymous

Give the exact intersection point for the equations f(x)=4sin^2x+7sinx+6 and g(x)=2cos^2x-4sinx+11 Ok, my result is that there is no intersection point because if you put f(x)=g(x) and try to solve for x or the intersection point, …

The question is Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations: Y < -X^2 X^2 + Y^2 < 16 I guess I am somewhat confused by the way it's written. Would I be graphing this to find …
4. ### Math- How many points of intersection are there?

Let x1, x2,..., x20 be distinct points on the x-axis and let y1, y2,...,y13 be distinct points on the y-axis. For each pair xi, yi, draw the segment connecting xi yo y1. Assume that no three of these segments intersect in one point. …
5. ### Math

Part 1: When writing linear equations, how do you determine which form of a line to use?
6. ### Algebra

when writing linear equations, how do you determine which form of a line to use?
7. ### Calc

Describe the given set with a single equation or with a pair of equations. The set of points in space that lie 2 units from the point (0,0,1) and, at the same time, 2 units from the point (0,0,-1). I wrote distance equations for both …
8. ### Math

How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0 A) You cannot find points of intersections for non-functions. B) Plug in 0 for x into both equations and solve for y. Then plug that answer back into …
9. ### Math

How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0 A) You cannot find points of intersections for non-functions. B) Plug in 0 for x into both equations and solve for y. Then plug that answer back into …
10. ### Math (Finding points of intersection)

Find the points of intersections of these equations?

More Similar Questions