That is called "solving for a variable".
If there is only one variable in the equation, then it is a "solution".
For example, 3x + 4y = 13
can be solved for x as 3x = -4y + 13
x = -(4/3)y + 13/3 This is solved for x.
Another equation with only one variable: 5z - 6 = 4
5z = 10
z = 2 This is a solution.
segregation or apartheid
you isolate the variable to the left side of the equation and keep all other terms and factors to the right side, as in solving for x in 2- x = 2. You have to use basic algebraic manipulation to isolate the chosen variable, i.e., adding multiplying or dividing by an equal amount to each side of the statement in order to isolate x.
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
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.
segregation or apartheid
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
It is to make the variable the subject of the equation.
isolate the variable
you isolate the variable to the left side of the equation and keep all other terms and factors to the right side, as in solving for x in 2- x = 2. You have to use basic algebraic manipulation to isolate the chosen variable, i.e., adding multiplying or dividing by an equal amount to each side of the statement in order to isolate x.
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.
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.