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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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Q: Why is it important to keep both sides of the equation equal?
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The definition of division property of equality?

I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.


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

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


The in an equation connects both sides of the equation?

The "equal" sign (=) in an equation connects both sides of the equation, indicating that the expressions on either side have the same value. It denotes that the two sides are equal and balanced, showing the relationship between the quantities involved.


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.


What does an equation tell you?

That both sides of the equal sign are balanced.


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.


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

Equal


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

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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.


What equation equals sum of 58?

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What is any mathematical statement that declares the values of two mathematical expressions to be equal?

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