You are Here: Home >< Maths

# AS Maths: Finding Coordinates from Simultaneous Equations watch

1. Hi there, im quite stuck on the following question:
"Find the coordinates of the points of intersection of the given straight lines with the given curves"

y=2x-12 x^2+4xy-3y^2= -27

I would like to know how to do it please as im rather confused on this topic!

Thanks!
2. I think you need to give us the whole question.
3. That is it above! Lol.

The bold is one equation, the non bold is the other.
4. At the points of intersection, the x- and y-coordinates of the two curves must be equal, which means we can substitute one curve into the other. Since we know that on the first curve, it seems easiest to sub the y-coordinate of this curve into the equation of the second curve. This gives:

You can then expand and solve this to get the x-coordinates of the points of intersection. The y-coordinates can then be found by substituting the values of the x-coordinates into the first equation.
5. Thanks, will work that out now.
6. (Original post by ~Sparked~)
That is it above! Lol.

The bold is one equation, the non bold is the other.
Sorry before you added the bold, I thought you had just provided the equation of the curve!
7. (Original post by Mr M)
Sorry before you added the bold, I thought you had just provided the equation of the curve!
It was my bad, i didnt make it clear enough to begin with. Sorry.

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: September 30, 2010
The home of Results and Clearing

### 1,893

people online now

### 1,567,000

students helped last year
Today on TSR

### IT'S TODAY!

A-level results chat here

### University open days

1. London Metropolitan University
Sat, 18 Aug '18
2. Edge Hill University
Sat, 18 Aug '18
3. Bournemouth University
Sat, 18 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams