Want this question answered?
The variables may have different values.
It really depends what the equation looks like. For example, if the variable is added to other expressions, you can subtract the variable on both sides. Here is an example:3x + 3 = 2x + 10 If you subtract 2x from both sides, you'll end up having the variable only on one side.
It follows from the multiplication property of equality. Dividing both sides of an equation by the same number (not by zero, of course) is the same as multiply both sides of the equation by the number's reciprocal. For example, dividing both sides of an equation by 2 is the same as multiplying both sides by 0.5.
RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign.RULE #2: to move or cancel a quantity or variable on one side of the equation, perform the "opposite" operation with it on both sides of the equation.
Different types of equations require different methods. But a general method, that works in many cases, is to manipulate the equation by adding, subtracting, multiplying or dividing both sides of the equation by the same number or expression. The general aim should be to put the variable on one side, and the numbers on the other side.Example:2z + 3 = 11To get rid of the 3, subtract 3 from both sides:2z = 8To get rid of the 2, divide both sides by 2:z = 4Different types of equations require different methods. But a general method, that works in many cases, is to manipulate the equation by adding, subtracting, multiplying or dividing both sides of the equation by the same number or expression. The general aim should be to put the variable on one side, and the numbers on the other side.Example:2z + 3 = 11To get rid of the 3, subtract 3 from both sides:2z = 8To get rid of the 2, divide both sides by 2:z = 4Different types of equations require different methods. But a general method, that works in many cases, is to manipulate the equation by adding, subtracting, multiplying or dividing both sides of the equation by the same number or expression. The general aim should be to put the variable on one side, and the numbers on the other side.Example:2z + 3 = 11To get rid of the 3, subtract 3 from both sides:2z = 8To get rid of the 2, divide both sides by 2:z = 4Different types of equations require different methods. But a general method, that works in many cases, is to manipulate the equation by adding, subtracting, multiplying or dividing both sides of the equation by the same number or expression. The general aim should be to put the variable on one side, and the numbers on the other side.Example:2z + 3 = 11To get rid of the 3, subtract 3 from both sides:2z = 8To get rid of the 2, divide both sides by 2:z = 4
The variables may have different values.
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.
In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.
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
It really depends what the equation looks like. For example, if the variable is added to other expressions, you can subtract the variable on both sides. Here is an example:3x + 3 = 2x + 10 If you subtract 2x from both sides, you'll end up having the variable only on one side.
It follows from the multiplication property of equality. Dividing both sides of an equation by the same number (not by zero, of course) is the same as multiply both sides of the equation by the number's reciprocal. For example, dividing both sides of an equation by 2 is the same as multiplying both sides by 0.5.
Think of doing the same thing to both sides. If 7x is on one side and 2x is on the other, subtract 2x from both sides. The 2x disappears and you're left with 5x on one side.
I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.
The equation remains in 'balance'
The equation remains in 'balance'
The equation remains in 'balance'
RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign.RULE #2: to move or cancel a quantity or variable on one side of the equation, perform the "opposite" operation with it on both sides of the equation.