You get rid of everything that is NOT the variable. Be sure to do the same operation on both sides. Here is an example:2x + 3 = 15
First, you might get rid of the 3. To do this, you need to subtract 3 on both sides:
2x + 3 - 3 = 15 - 3
2x + 0 = 12
2x = 12
Note: In practice, you will often write the last step directly. The previous steps are only to clarify what is going on.
Next, divide both sides by 2:
2x/2 = 12/2
x = 6
segregation or apartheid
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 ).
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.
divide by 51
To isolate a variable, you need to manipulate the equation so that the variable is on one side by itself. This typically involves performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides of the equation by the same value. It's important to apply these operations consistently to maintain the equality. Once the variable is isolated, you can clearly see its value in relation to the other terms in the equation.
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
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
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.
divide by 51
Isolate the variable
To solve a two-step equation with a fraction, first isolate the variable by eliminating the fraction. You can do this by multiplying both sides of the equation by the denominator of the fraction. Next, simplify the equation and then perform the necessary operations (addition or subtraction) to isolate the variable completely. Finally, solve for the variable to find the solution.