Yes- as long as neither of the variables are multiplied by zero, and there are no extra restrictions (such as real-life conditions or other applicable laws).
It really depends on the equation, but usually the answer is yes.
-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.
Such an equation has an infinite set of solutions. You can solve the equation for one variable, in terms of the other. Then, by replacing different values for one of the variables, you can get different solutions.
In a nonlinear equation, each variable must only have one solution.
substitution
It really depends on the equation, but usually the answer is yes.
If the solution contains one variable which has not been fixed then there are infinitely many solution.
-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.
That's the "solution" of the equation.
Such an equation has an infinite set of solutions. You can solve the equation for one variable, in terms of the other. Then, by replacing different values for one of the variables, you can get different solutions.
a solution
There are an infinite number of such equations.Here's one of them:2x + 6 = -x(Since the solution is only 1 number, theequation can only have 1 variable.)
That's the "solution" to the equation described by the sentence.
substitution
Substitution
substitution
Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.