You would use inverse operations. I had this on my math homework and got it correct
so I know this!
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Good for you ! You know what you said, but you don't know what you know.
I'd say that you use the Golden Law: "You must always do exactly the same thing
to both sides of an equation."
Isolate the variable
squared
In algebra, its to move the pieces of the equation around so that the variable is isolated to only one side of the sign
isolate the variable
That depends on the equation. In general, you'll try to isolate the variable, by using operations (on both sides of the equation) that get rid of anything other than the variable, on the side the variable is on.
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
Isolate the variable
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.
segregation or apartheid
To isolate a variable, you need to perform inverse operations to the ones applied to the variable. This involves moving constants to the other side of the equation, and then using operations like addition, subtraction, multiplication, or division to isolate the variable on one side of the equation.
To isolate the variable ( z ) in the equation (-15z = 60), you would divide both sides of the equation by (-15). This operation will give you ( z = \frac{60}{-15} ), simplifying to ( z = -4 ).
squared
Division
To eliminate a variable in an equation, you can isolate it on one side of the equation by performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides by the same number. If there are multiple variables, you might use substitution or elimination methods, especially in systems of equations. Additionally, you can simplify the equation by combining like terms or factoring. Ultimately, the goal is to isolate the variable or eliminate it through algebraic manipulation.
You isolate variables in math because the point of an equation is to solve for the variables. By isolating the variables you have learned what that variable stands for and thus solved the equation.
To isolate a variable using multiplication or division, you need to perform the opposite operation on both sides of the equation. For example, if the variable is multiplied by a coefficient, divide both sides by that coefficient to isolate the variable. Conversely, if the variable is divided by a number, multiply both sides by that number. Always ensure to maintain the equality of the equation by applying the same operation to both sides.
Inverse operations are used to undo mathematical operations and isolate a variable. They help to solve equations and simplify expressions by moving operations to the opposite side of the equation. This allows us to find the value of the variable that makes the equation true.