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How can you solve an equation that has a variables on both sides How do you move a variable term from one side of the equation to the other?
Wiki User
∙ 7y ago
That depends how the variable is combined with the other parts of the expression on each side. Here are some examples:Example 1: 2x + 5 = x - 3
Here, if you subtract "x" from both sides, you will get rid of the "x" on the right.
Example 2: x squared = 3x
Here, if you divide by "x", you get rid of the "x" on the right. However, one solution, namely x = 0, gets lost in the new equation if you do that. This is related to the fact that you should not divide by zero - and if x = 0, you are doing exactly that.
Wiki User
∙ 7y ago
Wiki User
∙ 6y agoThe way to move a positive term which contains a variable to the other side is to subtract that term from both sides and simplify (see A). The way to move a negative term is to add its absolute value to both sides and simplify (see B).
So suppose you start with 2x + 3y = 5x - 2y
(A) to move 2x to the right subtract 2x from both sides: 2x + 3y - 2x = 5x - 2y - 2x => 3y = 3x - 2y
(B) to move -2y to the left, add 2y to both sides: 2x + 3y + 2y = 5x - 2y + 2y => 2x + 5y = 5x.
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How do you do an equation where there are variables on both sides?
You try to bring all instances of the variable to one side. Here is an example:5x + 5 = 3x - 2 Subtracting 3x on both sides: 2x + 5 = -2 Subtracting 5 on both sides: 2x = -7
Which is the best way to solve the equation?
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.
Why is it important to keep both sides of the equation equal?
If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.
To use inverse operations on both sides of an equation until the variable appears by itself on one side?
Isolate the variable
What should be added to both sides of this equation to solve for the variable -15 r -28?
It is not an equation because there is no equal sign
What reduces a equation that has two variables to an equation that has one variable?
combining like terms or subtracting from both sides of the equation.
How do you solve an equation with the same variable on both sides?
The variables may have different values.
How do you solve variables on both sides equation using integer rules?
You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
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
How do you isolate variables for math?
When isolating a variable, you want to get the variable alone on one side of the equation and then what it equals on the other side. Anything you do to one side of the equation, you must do to the other. e.g.3x+2=8First, you subtract 2 from both sides leaving:3x=6Then you divide both sides by 3, and you are left with: x=2
How do you do an equation where there are variables on both sides?
You try to bring all instances of the variable to one side. Here is an example:5x + 5 = 3x - 2 Subtracting 3x on both sides: 2x + 5 = -2 Subtracting 5 on both sides: 2x = -7
How do you write an equation that has variables on both sides and has a solution of -2?
An example could be: 3x-2 = x-6 and so the variable x = -2
What does it mean to isolate the variable?
Let's say you are given a complex equation involving two variables, x and y, and say you are asked to solve for x, but x is located on both sides of the equals sign. Using various algebraic techniques, you will have to manipulate the equation so that the x is by itself on one side of the equation and everything else is on the other side. That is called isolating the variable.
Which is the best way to solve the equation?
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 an equation has two variables there is a number of values that the two variables could have?
If an equation has two variables, we'll call them (x,y), the variables can be any value as long as both sides of the equation have the same result. If the equation was x = y, then the variables could be (1,1), (2,2), (3,3),etc...
What do you have to do to get a variable alone?
A) Divide both sides of the equation by 4.
How can you use proportions to solve equations with variables on both sides?
A calculator can be used to proportions to answer a equation. This is easier to solve when having variables on both sides.
