You cannot solve a variable. You can solve an equation to find the value (or range of values) of a variable.
How you do that depends on the nature of the equation that you have. Linear and quadratic equations are relatively simple, as are many trigonometric and exponential equations. But some cannot be solved in such a way and a numerical solution is required. Here you would make a guess and then improve on that guess and then improve on that until you were satisfied that you were close enough to the real answer.
Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.
solve x=yz for the variable y
Solve the problem using the + sign for the variable. Then solve the problem using the - sign for the variable. Report your answer as the answer that you got using + or the answer that you got using -.
variable equation solve it test it
Yes, that is what you are normally required to solve for.
To determine the best variable to solve for in a system of equations by substitution, look for the equation that allows you to isolate a variable easily. Typically, choose the equation where one variable has a coefficient of 1 or -1, or is already expressed in terms of the other variable. This makes substitution straightforward and minimizes complexity in calculations. Once identified, you can solve for that variable and substitute it into the other equation.
Cross multiply then solve for the variable.
No, you can only simplify an expression. To solve for a variable, it must be in an equation.
Use the definition of a function. If, for any value of one variable, there is only a single possible value of the second variable, then the second variable is a function of the first variable. The second variable is often called the "dependent variable". If you can solve an equation explicitly for the dependent variable, then it is a function. If you can NOT solve it for a variable, it may or may not be a function - it turns out that some equations are hard or impossible to solve explicitly for one of the variables.
To solve a system of equations by substitution, first solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation. This will give you an equation with only one variable, which you can solve. Finally, substitute back to find the value of the other variable.
To solve a two-step equation with a fraction and a variable, first isolate the term with the variable by eliminating any constant on the same side. You can do this by adding or subtracting the constant from both sides. Next, if the variable is multiplied by a fraction, multiply both sides of the equation by the reciprocal of that fraction to solve for the variable. Finally, simplify to find the value of the variable.
You solve algebraic expressions by getting the variable by itself.