Using two formulas to find 2 unknowns called system of equations ? if so, how would you solve f=ma if m and a are unknown ?
Compressed HSC for year 11 & 12
1^{st } year (11): | Physics | Software Design and Development | General Mathematics 2 |
2^{nd} year (12): | Standard English | Studies of Religion 1 | Industrial Technology - Electronics |
ATAR Aim: 60-80
Degree Aim: Associate Degree of Engineering (Electronics)
Dream Company: | Intel | Nvidia | AMD |
1-on-1 Maths Tutoring(IB & HSC): Epping, Beecroft, Eastwood, Carlingford & Beyond
IB: Maths Studies, Maths SL & Maths HL; HSC: 2U, 3U & 4U
Highly Qualified & Highly Experienced.
There are IB Maths Tutors and there are IB Maths Tutors.
Just say M=10 and A is the unknown you can solve it for F but when M and A are unknown how to you solve it. My friend and physics told me that it can be solves for the unknowns using systems of equations, but i never learnt that. For F=MA to solve for two unknown you need to use two other equation M=F/A and A=F/M its called systems equations i think.
Compressed HSC for year 11 & 12
1^{st } year (11): | Physics | Software Design and Development | General Mathematics 2 |
2^{nd} year (12): | Standard English | Studies of Religion 1 | Industrial Technology - Electronics |
ATAR Aim: 60-80
Degree Aim: Associate Degree of Engineering (Electronics)
Dream Company: | Intel | Nvidia | AMD |
I think he might be referring to what we would call 'simultaneous equations'. Are these in the general maths syllabus? Surely they are.
That is the one i meant, i got the name mixed up but how would you still solve the missing variable problem using simultaneous equations ?
Compressed HSC for year 11 & 12
1^{st } year (11): | Physics | Software Design and Development | General Mathematics 2 |
2^{nd} year (12): | Standard English | Studies of Religion 1 | Industrial Technology - Electronics |
ATAR Aim: 60-80
Degree Aim: Associate Degree of Engineering (Electronics)
Dream Company: | Intel | Nvidia | AMD |
Why don't you just post an actual question of this type?
1-on-1 Maths Tutoring(IB & HSC): Epping, Beecroft, Eastwood, Carlingford & Beyond
IB: Maths Studies, Maths SL & Maths HL; HSC: 2U, 3U & 4U
Highly Qualified & Highly Experienced.
There are IB Maths Tutors and there are IB Maths Tutors.
With simultaneous equations and multiple unknowns, you need several pieces of information. Generally you need one equation for each unknown quantity. So if you have two unknowns you need two equations.
And you can't "cheat" by rearranging the first equation and using that as the second, because when you try to solve it you will end up getting an equation like or that is as useless as it is true.
For example the equation has infinitely many possible solutions for and , so you need more information to go off.
Suppose you are then given .
So now you have two equations:
We can rearrange the second equation, giving us and then we can substitute this back into the first equation, giving:
And from there it is possible to solve for . Once you know you can then solve for .
__________________________________________________ __________________________________________________ __
In some more common cases it may be better to add the equations together:
Or subtract them:
But ultimately what you're trying to do is to focus on one variable by creating an equation without all the others. Once you have that variable you can use it to find the other(s).
Last edited by fan96; 1 May 2018 at 11:44 PM.
HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]
ATAR: 97.40 | Uni Course: Advanced Mathematics (Hons) / Engineering (Hons) at UNSW
There are currently 1 users browsing this thread. (0 members and 1 guests)
Bookmarks