The subtraction theorem states that for all real numbers,
and
,
.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.
16. would be C since they both consist of the same variable to the same power
17. x-2x+7-9+4x
c. 3x-2
18. -4(3a-5). You would multiply -4 by 3 a, and -4 by -5. It turns to
-4(3a)-4(-5)
a. -12a+20
The amount of money in your account is mathematically given as
x = $56
This is further explained below.
<h3>What is an account?</h3>
Generally, An account is a term used in accounting to refer to assets, liabilities, income, costs, and equity.
In bookkeeping, an account is represented by a single page in a ledger, and any changes in value are chronologically documented using debit and credit entries.
These entries, which are also known as posts, are added to a book of final entries or ledger and form a part of it.
In conclusion, the amount of money in your account will be
18 * 8 = 144
Therefore
x=200 - 144
x = $56
Read more about the account
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To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.
The elevator starts on the twentieth floor, so we will represent that with 20.
20
It goes down 11 floors, so we can represent that with a -11.
20-11=9
Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.
9+5=14
Using the math above, we can see the elevator is on the 14th floor.
we know that
If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation
we have the equation
Let's verify all the cases to determine the solution to the problem.
<u>case A)</u> point 
Substitute the values of x and y in the equation
-------> is true
therefore
The point is a solution of the equation
<u>case B)</u> point 
Substitute the values of x and y in the equation
-------> is true
therefore
The point is a solution of the equation
<u>case C)</u> point 
Substitute the values of x and y in the equation
-------> is not true
therefore
The point is not a solution of the equation
<u>case D)</u> point 
Substitute the values of x and y in the equation
-------> is not true
therefore
The point is not a solution of the equation
therefore
<u>the answer is </u>
