# [R] Solving equations

Rui Barradas ruipbarradas at sapo.pt
Sun Sep 7 21:01:57 CEST 2014

```Hello,

Inline.

Em 07-09-2014 09:54, Mohan Radhakrishnan escreveu:
> Hi,
>           I code R to parse data but not for solving equations. So this is
> my first such problem. It is a programming puzzle.
>
> I have these two equations.
>
> 1)    4x - 3w = 0
> 2)    8x - 7w =0
>
> I know the value of x and w for
>
> equation 1).  x = 3 and w = 4
> equation 2).  x = 7 and w = 8

Why? Any of those equations defines a straight line, not a point. Those
two points are just one of the infinitely many solutions.

Your equations are equivalent to
eq1) w = 4/3x
eq2) w = 8/7x

the equations of straight lines passing through the origin (no
independent term).

>
> I also know how to write more equations based on data available in the
> puzzle.
>
> How do I solve a set of such equations ? I need to find out the values of x
> and w for each such equation.

There are packages to solve simultaneous equations but I've never used them.

Hope this helps,

Rui Barradas
>
> I know that here the equations are simple because the puzzle can be
> simplfied.
>
>
> Thanks,
> Mohan
>
> 	[[alternative HTML version deleted]]
>
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```

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