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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.
The main rule is that whatever rule you perform on one side of the equation must also be performed on the other side of the equation. You have to choose the operation in such a way as to isolate the variable you want to solve for.
To isolate the variable ( m ) in the equation ( 15m + 45 = 0 ), you first subtract 45 from both sides to get ( 15m = -45 ). Then, you divide both sides by 15, yielding ( m = -3 ). Thus, the variable ( m ) is now alone on one side of the equation.
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.
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
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.
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.
Isolate the variable
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
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.
The main rule is that whatever rule you perform on one side of the equation must also be performed on the other side of the equation. You have to choose the operation in such a way as to isolate the variable you want to solve for.
To isolate the variable ( m ) in the equation ( 15m + 45 = 0 ), you first subtract 45 from both sides to get ( 15m = -45 ). Then, you divide both sides by 15, yielding ( m = -3 ). Thus, the variable ( m ) is now alone on one side of the equation.
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.
To completely isolate the variable, we have to divide both sides of the equation by 6. x = 24 / 6 x = 4 Now, x is all by itself or "isolated". We can read the answer right from the equation. x equals 4. To review, isolating the variable means getting every term containing the variable on one side of the equationfound on google...
That depends entirely on the equation which has not been given but in general whatever is done on one side of an equation must be repeated on the other side in order to keep the equation in 'balance'