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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.

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โˆ™ 2012-10-14 01:35:25
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why is it important to keep both sides of the equation equal?
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Related questions

What are both sides of an equation equal to?

An equation has two sides, and each of these sides is equal to the other.


What can be added to both sides of a linear equation?

Equal quantities may be added to both sides of a linear equation.


The definition of division property of equality?

If you divide the same number from both sides of the equation,then the sides remain equal.


What does it mean for a chemical equation to be balanced?

That both sides of the equation must be equal


What does an equation tell you?

That both sides of the equal sign are balanced.


What is a mathematical sentence that compares expressions that are equal?

If both sides are equal, it's called an equation. If both sides are NOT equal, it's called an inequality.


Which quantities can always be added or subtracted from both sides of an equation?

Equal


Why can you multiply or divide both sides of an equation by the same number and still have the equation be true?

It was an equation to start with. That is, both sides were equal. So, if you do the same thing to each side they will still be equal. You can also add or subtract the same number from each side and they will be equal. As long as you treat both sides the same they will remain the alike -- that is, they will remain equal.


What is the definition for a balanced equation?

when an equation is balanced, both sides of the equation( products and reactants), equal the same amount.


In a unit analysis you check to see if the expressions on both sides of the equation are?

Equal


Why is it important to do the same things to both sides of an equation?

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.


Quantities can always be added or subtracted from both sides of an equation?

Yes, the point is that if two terms (or sides of the equation) are equal, then they remain equal as long as you add or subtract the same amount, to or from both of them. It's very logical.

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