Posted by **Trixie** on Tuesday, September 6, 2011 at 2:51pm.

How do you find the points of intersection, if any, of the equations:

x^2 + y^2 = 5

x - y = 1

- algebra 2 -
**MathMate**, Tuesday, September 6, 2011 at 4:37pm
You would solve for one of the unknowns using the linear equation (x-y=1 => x=y+1)

and substitute into the quadratic equation, and solve for the only unknown, y.

(y+1)^2+y^2=5

y^2+y-2=0

y=1 or -2

Now substitute y=1 or -2 into the linear equation to get the corresponding values of x. This will complete the solution of two intersection points.

## Answer This Question

## Related Questions

- Calculus - Find the points of intersection for y=e^x and y=sin(2x). are there an...
- maths - geometry - In a space with an orthonormal coordinate system consider the...
- math - weloo Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find...
- math - hilp meeee trying .... Consider the two parabolas :y1=2x^2-3x-1 and y2=x^...
- math - hilp meeee trying .... Consider the two parabolas :y1=2x^2-3x-1 and y2=x^...
- Math- How many points of intersection are there? - Let x1, x2,..., x20 be ...
- math - find the points of intersection of the following pairs of equations. a. y...
- Algebra 2... - On isometric dot paper, graph the system of equations at right. ...
- math - Question-2; Consider the function f(x)= -cos3x -4sin3x. (a)Find the ...
- Math/Algebra - The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple ...

More Related Questions