Question

help solving system of 5 equations, very annoying to solve, need someone who has mathematica or some other online software that can plug it in for me!! HELP ELPH LEPHLPELHPLEPLHPE HELLLLLLLLPPP HELPL PHLEPHLP LEHLEPLHPELHPELHPELHPELPLHELHEPLHEPL

Answer 1

enlighten us with your equation.

Answer 2

1)elimination
2)substitution
3)graphing
4)matrices
5)addition( ??)
:)

Answer 3

5 equations huh
if you have a graphing calculator, you can solve it using matrices

Answer 4

wolframalpha.com
can also solve it for you
separate equations with comma

Answer 5

im not able to enter it right hte form is so ugly i need maple or mathematica! sec lemme upload

Answer 6

are they not linear equations then ?

Answer 7

ok

Answer 8

So does that mean there is 5 variable?

Answer 9

sorry hold on its taking a really long time to upload the picture from my phone to the computer for some reason... i proly have bad connection lemme try goingoutside

Answer 10

haha.

Answer 11

And it didn't even upload yet... 9 hours were not enough...

Answer 12

Say you have \(n\) equations with \(m\) variables,
\[\begin{cases}
a_{1,1}x_1+\cdots+a_{1,m}x_m=c_1\\
a_{2,1}x_1+\cdots+a_{2,m}x_m=c_2\\
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\vdots\\
a_{n,1}x_1+\cdots+a_{n,m}x_m=c_n
\end{cases}\]
There are a few ways to plug this information into Mathematica. One is by defining the list of equations and using the Solve[] or NSolve[] commands (the distinction being that the former gives you exact solutions if possible, and the latter gives numerical/approximated solutions).

With the set of equations above, you'd write
\[\textbf{Solve[}\{a_{1,1}x_1+\cdots+a_{1,m}x_m==c_1,~\cdots ,~a_{n,1}x_1+\cdots+a_{n,m}x_m==c_n\}\textbf{, }\\
~~~~~~~~~~~~~~~~~~~\{x_1, ~\cdots~,~x_m\}\textbf{]}\]
So the basic structure to this command is the "Solve[]" command with two main arguments; the list (denoted by the brackets) of equations, followed by a list of all the variables. Note the double equal signs (not a typo).

If you happen to get an error but you're convinced you typed everything correctly, try using "NSolve[]" instead.

Answer 13

Alternatively, you can introduce your matrix of coefficients and use the command "LinearSolve[]" which is designed to accommodate *linear* equations in matrix form.

First, you'll need to introduce your matrix. Mathematica recognizes matrices as lists of lists. What this means is that when you want, say, the matrix
\[m=\begin{bmatrix}a&b&c\\d&e&f\end{bmatrix}\]
and you want to refer to this matrix using a variable, you would first define the matrix like so:
\[\textbf{m = }\{\{a,b,c\},~\{d,e,f\}\}\]
A matrix equation has the form
\[MX=C\]
where \(M\) is the matrix of coefficients, \(X\) the variable vector, and \(C\) the vector of constants. In terms of the system I had earlier, the matrix equation would be
\[\underbrace{\begin{bmatrix}
a_{1,1}&\cdots&a_{1,m}\\
\vdots&\ddots&\vdots\\
a_{n,1}&\cdots&a_{n,m}
\end{bmatrix}}_{M}~~
\underbrace{\begin{bmatrix}
x_1\\\vdots\\x_m
\end{bmatrix}}_{X}=
\underbrace{\begin{bmatrix}
c_1\\\vdots\\c_n
\end{bmatrix}}_{C}\]
The arguments for the LinearSolve[] command are the coefficient matrices:
\[\textbf{LinearSolve[}\text{M, C}\textbf{]}\]
where you would have defined
\[\text{M = }\{\{a_{1,1},~\cdots,~a_{1,m}\},~\cdots,~\{a_{n,1},~\cdots,~a_{n,m}\}\}\]
and
\[\text{C = }\{\{c_1\},~\cdots,~\{c_n\}\}\]
or, if the curly braces got you down, you can write the \(C\) vector as
\[\text{C = }\{\{c_1,~\cdots,~c_n\}\}\]
then simply transpose the vector with the Transpose[] command,
\[\textbf{Transpose[}\text{C}\textbf{]}\]
which would make your input for LinearSolve[] slightly altered,
\[\textbf{LinearSolve[}\text{M, Transpose[C]}\textbf{]}\]

Answer 14

Here's a worked example. If you don't have access to Mathematica, I believe there are online CDF readers you can look up.

Answer 15

Oh one more thing I should mention. If you've never used Mathematica, you evaluate the cells by pressing Shift+Enter, not just Enter.

Answer 16

havent u tried wolframalpha