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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
What else can I help you with?
What is to isolate a variable on one side of an equation?
segregation or apartheid
Which operation would isolate the variable in this equation -15z60?
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 ).
What is the definition of isolate in math?
In mathematics, to isolate a variable means to manipulate an equation or expression so that the variable is alone on one side of the equation. This often involves using algebraic operations such as addition, subtraction, multiplication, or division to rearrange the equation. The goal is to express the variable in terms of other constants or variables, making it easier to solve for that variable.
How do I isolate a variable using multiplication or division?
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.
When do you divide to isolate the variable?
You divide to isolate the variable when the variable is being multiplied by a number or expression. By dividing both sides of the equation by that number or expression, you can simplify the equation and solve for the variable. This step is commonly used in algebra to maintain balance in the equation while isolating the desired variable on one side. Always ensure that the number you are dividing by is not zero, as division by zero is undefined.
What is an equation with one or two variables?
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
Why do you isolate the variable on one side the the equation when solving a linear equation?
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.
What is to isolate a variable on one side of an equation?
segregation or apartheid
How do you get a variable by its self?
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.
Which operation would isolate the variable in this equation -15z60?
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 ).
For systems in which there is no linear equation you can isolate and substitute a variable that is what in both equations?
squared
Which operations would isolate the variable in this equation 3y - 12 14?
Division
What is the definition of isolate in math?
In mathematics, to isolate a variable means to manipulate an equation or expression so that the variable is alone on one side of the equation. This often involves using algebraic operations such as addition, subtraction, multiplication, or division to rearrange the equation. The goal is to express the variable in terms of other constants or variables, making it easier to solve for that variable.
Why do you isolate variables for math?
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.
How do I isolate a variable using multiplication or division?
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.
When do you divide to isolate the variable?
You divide to isolate the variable when the variable is being multiplied by a number or expression. By dividing both sides of the equation by that number or expression, you can simplify the equation and solve for the variable. This step is commonly used in algebra to maintain balance in the equation while isolating the desired variable on one side. Always ensure that the number you are dividing by is not zero, as division by zero is undefined.
Which operation would isolate the variable in this equation 51q equals 1020?
divide by 51
