<em><u>Solution:</u></em>
<em><u>Given that, we have to simplify</u></em>
We can simplify the above expression by combining the like terms
Like terms are terms that has same variable ( with same exponent) with same or different coefficient
From given,
Here, like terms are -3y and -5y
And 2x and -7x
Group the like terms
Combine the like terms
Thus the given expression is simplified
Consider expression First, you can factor it:
Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).
Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.
Thus, is always even.
Step-by-step explanation:
Let's make the number we're finding to be . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be
. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be
. Since they are the same, we have the equation below.
All we have to do now is to find .
Our number must be . I think