Question

Hello ,please help me and explain these questions, thank you so much!
(25 pt) :)

Answer 1

-7x - 5 = -40
+5 +5

7x = -35
-7x/-7 = -35/-7
x= 5

The reason it’s like this is because it’s a 2 step equation to solve for x. First, you get rid of the number next to the variable, which would be -5, and you do the opposite operation to single out the variable. Since you got rid of the -5 by doing +5, you also have to add 5 to the -40 on the other side of the equation. You end up with -7x = -35, and again, you have to single out the variable. You divide the variable by -7 to single it out, and you also divide the -35 because you have to do it to both sides. Then, you end up with the answer.



For the second equation, all you have to do is combine like terms. (Note, i will be using this ^ to say an exponent.)
18s^4 - 6s^2 - 3s + 27

So, combing like terms means you combine the numbers that have the same variable and exponent. Since there is a 12s^4 and also a 6s^4, you add them together and get 18s^4. There is no like terms for -6s^2, so it stays the same. For 4s, there is also a -7s, so you combine them and get -3s. And finally, there is no terms to combine with the 27, so it stays the same.


Hope this helps

Answer 2

11:

First I like to start with the largest exponents which are

`12s^(4) -6s^(4)=18s^(4)`

`-6s^(2)` stays the same because there are no other terms with the same exponent

`4x-7s=-3s`

`27` also has no like terms

You then put it all together: 
`18s^(4)-6x^(2)-3s+27`

5:

First, isolate the term with the exponent

`-7x-5=-40`

`+5 +5`

`-7x=-35`

Divide by the coefficient

`-7x=-35/-7`

`x=5`

Hope this helps!!!