
Is it possible to solve for two unknowns from one equation?
The set of solutions here is trivially $\ { (32-3k,k) : k \in \Bbb Z\}$. For a more interesting example, you can consider the equation $2x+3y=32$. Note that such equations need not have solutions, for …
How to solve a system of two equations with three variables
May 3, 2020 · 1 Here is one way to use elimination to solve your system of linear equations. However we first must put the equations into standard form.
Solving two equations of 2nd degree and 2 variables
Dec 17, 2016 · I spent hours trying to solve this system of equations, they're two equations with two variables, and both are 2nd degree equations, I don't know, both equal zero, so each one equals the …
Why can't we solve a system of equations with three equations ...
May 10, 2016 · It depends on what you mean by "solve", and also whether the "two variables each" come in distinct pairs. For example we can easily demonstrate a system of three equations, each …
Solving a quadratic equation in two variables: $x^2-4xy+3y^2=0$
Jul 2, 2018 · If $x^2 - 4yx + 3y^2 = 0$, we can view this as a quadratic equation in standard form with $a=1$, $b=-4y$, and $c=3y^2$; so, we can use the quadratic formula just as in the single variable case:
Solve quadratic equation in two variables - Mathematics Stack Exchange
Jan 30, 2018 · $$3y^2-63+12x=0$$ Actually they are partial derivatives of this equation $f (x,y)=x^3+y^3-63 (x+y)+12xy$ I am doing maxima minima questions of two variables and i am really …
Differential equation with two dependent variables
Oct 1, 2021 · Differential equation with two dependent variables Ask Question Asked 4 years, 4 months ago Modified 4 years, 4 months ago
calculus - Solving set of 2 equations with 3 variables - Mathematics ...
Jul 11, 2015 · Solving set of 2 equations with 3 variables Ask Question Asked 10 years, 7 months ago Modified 10 years, 7 months ago
How to solve a system of two equations in three unknowns
Feb 25, 2016 · "I know that in order to solve three unknowns three equations are needed, so I'm unsure if this can be solved" well, since this doesn't have 3 equations you know it can not. (Although the "3 …
calculus - Solving differential equation with two variables ...
Jan 8, 2017 · How to solve a differential equation of the following form: $\dfrac {ax} {\dfrac {\partial {f (x,y)}} {\partial x}} + \dfrac {by} {\dfrac {\partial {f (x,y)}} {\partial y}}=-1 $