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Explain why you must do the same operation to both sides of an equation when solving it?
Wiki User
∙ 11y ago
If you don't, then the two sides of the equation are no longer equal. The
'equals' sign in it ( = ) is a lie, and the equation isn't a true statement.
At that point, there's no such thing as a solution any more, so you might
as well forget about it and go on to the next problem.
Wiki User
∙ 11y ago
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How do you solve the equation y equals x squared?
If you are solving for y, it is fine. If you are solving for x, divide both sides by x and the equation should be x = y/x
When solving a radical equation you should first isolate the radical and then both sides?
Radical...Apex :)
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.
When solving a rational equation why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression?
You can multiply both sides by the LCD because as a rule, you can do anything to one side of an equation as long as you do the same thing to the other side. But when you simplify a rational EXPRESSION, you don't have an EQUATION. So there is no other side. So you can't multiply both sides by anything. You can, however, multiply both the numerator and the denominator by the same term (except zero).
To solve one-step equations find out what operation was done to the variable then do the operation to both sides of the equation?
Reverse Thank God for Apex... Im graduating :)
Which operation is approriate for solving the equation 15 equals 5x addition or division?
It is division because by dividing both sides by 5 gives the value of x which is 3
When you perform the same operation on both sides of the equation the equation stays in what?
The equation remains in 'balance'
When you perform the same operation on both sides of the equation the equation stays in the what?
The equation remains in 'balance'
How do you solve the equation y equals x squared?
If you are solving for y, it is fine. If you are solving for x, divide both sides by x and the equation should be x = y/x
What is the first step in solving the equation 7d plus 1 equals 8 for d?
Subtract 1 form both sides of the equation
When solving a radical equation you should first isolate the radical and then both sides?
Radical...Apex :)
When solving the equation 4x equals 16 would you divide both sides of the equation by 4 or by 16 explain?
by 4. You do this because you want to find out what x equals. If you divide by 16, you find out what 1/4X equals, and that isn't much good to you. x=4 is the answer.
When solving inequalities using multiplication explain the difference between multiplying each side of the equation by a positive number and multiplying each side of the equation by a negative number?
When you multiply both sides by a negative number the inequality must be flipped over. You do not do that when multiplying by a positive number.
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.
What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
What is the multiplication property of equation?
That means that multiplying both sides of the equation by the same non-zero number is a valid operation, which often helps you simplify the equation.
How do you solve augmented matricies?
The short answer, multiply on both sides of the equation by the inverse of the matrix you need to remove. Just like solving 3x = y for x. Multiply on both sides of the equation by 1/3.
