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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.


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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?

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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.


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.


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

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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.


What is meant by a balanced chemical equation?

it's meant to make all elements equal on both sides of the equation.


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Equal sums on both sides of the equation would be 29 + 29 = 58


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.


How can you figure out if an equation is balanced?

To check if an equation is balanced, you should check if the number of atoms on both sides are equal or not. If they are not equal, balance them suitably. Next, check the charges on both sides. If charges are unequal, balance them too.


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It means to balance both sides of the equation so that they are equal and in the smallest possible form.


What is the definition of subtraction property of equality?

The addition of the opposite, to both sides of the equation. keep it equal


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

Quantities that are equal can be added or subtracted from both sides of an equasion. For example: x + 2 = 36 subtract both sides by 2 x = 34


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

The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.