
Solving a quadratic equation in two variables: $x^2-4xy+3y^2=0$
Jul 2, 2018 · Solving the quadratic, either by factoring or by formula, gives $\,t \in \ {1,3\}\,$, so the two families of solutions (given by $\,x = ty\,$) are $\,x=y\,$ and $\,x=3y\,$ for an arbitrary $\,y \in \mathbb …
Is it possible to solve for two unknowns from one equation?
Therefore, y = 1 y = 1 is the only possible solution. Indeed, x = 1 x = 1 and y = 0 y = 0, is a solution, and the only one. This may be considered as a hack, since apart from the equation, we have two …
How to solve a system of two equations with three variables
May 3, 2020 · How do I find the values of x x, y y, and z z? I would like to use the elimination method. The answer should be: x = 3, y = 2, z = 5 x = 3, y = 2, z = 5. This solution works in the equations. I …
Solving recurrence relation in 2 variables
We already know how to solve a homogeneous recurrence relation in one variable using characteristic equation. Does a similar technique exists for solving a homogeneous recurrence relation in 2 variables.
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 …
How can we solve an equation with two variables, when only given one ...
Sep 2, 2019 · How can we solve an equation with two variables, when only given one equation? Ask Question Asked 6 years, 4 months ago Modified 6 years, 4 months ago
calculus - Solving set of 2 equations with 3 variables - Mathematics ...
Jul 11, 2015 · It is correct then. This is different than the original answer you got. It is the same as the "solution" given; the only difference is that q1 was chosen as the free variable instead of q3 to use …
algebra precalculus - Can you solve two unknowns with one equation ...
Jul 12, 2023 · Actually it is possible to solve two unknown with one equation. But the only way is using the properties of some functions like square roots or use one of the variable multiplying the original …
Solving a quadratic equation problem with two variables
Sep 19, 2021 · This is a post of two three problems regarding the method to solve bivariate quadratic equations. In brief, How does the elimination happen here. Or, how is the elimination used? (Update, …
Solve quadratic equation in two variables - Mathematics Stack Exchange
Jan 30, 2018 · Solve quadratic equation in two variables . Ask Question Asked 7 years, 11 months ago Modified 7 years, 11 months ago