System of Equation Solver? Online

Question

What site do people use to solve systems of equations with algebraic coefficients. I.E I know wolfram solves

$$ x+y=2,~~y-3x=1 $$ but are there sites that let you put unknown constants? $$ x+c_1y=2,~~y-c_2x=c_3. $$

EDIT : (all helpful answers and I would up vote if I could!) Note I tried this in wolfram and it didn't work (this is the beast I wanted solved for me ):

solve v_1=A+B- (c_5 a / c_1(c_8+ c_3c_5/c_1 )), v_2=Ae^{r_1 h }+Be^{r_2 h}- (c_5 a / c_1(c_8+ c_3c_5/c_1 )), x_1=b-(1/c_1)(A(c_2+c_3/r_1)+B(c_2+c_3/r_2)), x_2=b+ah-(1/c_1)(Ae^{r_1 h}(c_2+c_3/r_1)+Be^{r_2 h}(c_2+c_3/r_2)), for a, b, A, B

Answer 1

Yes. Graphically you can do this on Desmos and get a sliding bar to manipulate the variables. Here are your equations.

Answer 2

If you ask Wolfram Alpha

solve x+c_1y=2, y-c_2x=c_3 for x,y

you get

• $x = \dfrac{2 - c_1 c_3}{c_1 c_2 + 1}$ and $y = \dfrac{2 c_2 + c_3}{c_1 c_2 + 1}$ and $c_1 c_2 + 1\not=0$

• $y = -\dfrac {c_3}{x - 2}$ and $2 c_2 + c_3 = 0$ and $c_3 \not=0$ and $c_1 = \dfrac2{c_3}$

I suspect you may looking for the first of these, though the second deals with the $c_1 c_2+1=0$ situation.

For more complicated situations, you may want to invest in a computer algebra system