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Need help with this question!

I've been stuck on this question for my summer transition work into a level maths for a few days and I've tried to solve it, gone through revision books and I've got to the point of overcomplicating it! If anyone can solve it (with steps) or recommend a website that can I'd appreciate it a lot

X^2 +y^2 =16
Y=3x-1

Reply 1

Tilly M

Try the website wolfram alpha, it helped me a lot during a levels. If you haven't tried already substitute y=3x-1 into the first equation to get x^2+(3x-1)^2=16

Reply 2

denyagoss

OK thanks soooooo much

Reply 3

Muttley79

Original post by denyagoss

OK thanks soooooo much

You should have covered this at GCSE ...

Reply 4

denyagoss

Yh I did but I've not done maths since my last exam and I've forgotten some of it, the website has a problem with its server so I recognised the equations as ones for a circle and a straight line that I'd need to plot on a graph, my results gave me decimals however my answer has to be in the form of a+b*root*c so I'm still stuck

Reply 5

denyagoss

Original post by Muttley79

You should have covered this at GCSE ...

So yh it's not that I'm not capable of doing maths it's just that I'm stuck in this particular question

Reply 6

Muttley79

Original post by denyagoss

So yh it's not that I'm not capable of doing maths it's just that I'm stuck in this particular question

This is a standard simultaneous equation question - one quadratic, one linear. I'd suggest you look at more like this to ensure you are confident.

Reply 7

denyagoss

Original post by Muttley79

This is a standard simultaneous equation question - one quadratic, one linear. I'd suggest you look at more like this to ensure you are confident.

Yh I'm trying to do some summer revision also to get back up to a good standard

Reply 8

Tilly M

Original post by Tilly M

Try the website wolfram alpha, it helped me a lot during a levels. If you haven't tried already substitute y=3x-1 into the first equation to get x^2+(3x-1)^2=16

If you are still struggling, square out the bracket, from what I said before,
(3x-1)^2 to get 9x^2-6x+1 and then collect like terms to get a final quadratic