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Q: What is it called when you have to get the variable alone on one side of an equation?

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each of the four regions created on the coordinate plane by the x- and y-axes.

isolate the variable

Algebraically manipulate the equation until you have the indicated variable on one side of the equation and all of the other factors on the other side.

If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.

When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.

Related questions

each of the four regions created on the coordinate plane by the x- and y-axes.

Divide both sides of the equation by 15

isolate the variable

When you solve a one-variable equation, your goal is to isolate the variable.To isolate the variable means to make it be alone on one side of the equals sign.In the equation shown here, you can isolate the variable by subtracting 9 from both sides of the equation and simplifying

3n=36 Write the equation n=12 Divide each side of the equation by 3 to get the variable alone.

For example, let's start off with: 9x + 3 > 3x + 2First, get rid of the smallest 6x + 3 > 2variable, 3x, by subtracting3x from 9x.Then, subtract 3 from both 6x > -1sides to isolate thevariable.Now divide each side by x > -1/66 to get x alone to solvethe inequality.Summary: Subtract one coefficient from another coefficient to get one coefficient on one side of the equation. Subtract one constant on one side of the equation from the other so that the coefficient is completely alone on its side of the equation. Finally, if their is a constant attached to the variable, which the pair is called a coefficient, divide whatever the constant of the variable is on both sides of the equation to get the variable alone to solve the equation.

isolation of the variable means to get the variable on one side of the equation and the integers on the other side

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.

Algebraically manipulate the equation until you have the indicated variable on one side of the equation and all of the other factors on the other side.

If you mean: 4c = 139 then divide both sides by 4 and so c = 34.75

What you have listed is not an equation but I assume you meant 6w = 42. If you divide both sides by 6 you get w = 7.

The methods vary widely, depending on the type of equation. The general principle is to do the same manipulation on both sides of the equation, trying to isolate the variable (leave the variable alone on one side of the equation). For example, if you have x + 3 = 7 your objective is to have the "x" alone on one side, so you subtract 3 on each side. This results in: x + 3 - 3 = 7 - 3 x + 0 = 4 x = 4 (You don't usually need to write down all these steps; they were included for clarity.)

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