The sum of two numbers is −36. One number is 106 less than the other. Find the numbers.

x= -71

y= 35

Step-by-step explanation:

To solve this problem you have to creat two different equations.

The first would just be the sum of the two numbers. Since they are two different numbers you will need to pick two different variables to represent them. I chose x & y.

x+y= -36

Your second equation is based off of the second sentence. It tells you that one of your numbers(I'm going to use y) needs to be subtracted by 106 in order to equal the other number (x).

x= y-106 This is how you'd write it out. Since we have one variable by itself we can use substitution to solve for y. This means you take everything (in the second equation only) on the right side of the equal side of the equal sign adn plug it in for x in your first equation.

(y-106)+y= -36 Now solve for y by adding your like terms together. The parenthesis are only there to show you what I replaced x with.

2y-106= -36  Now add the 106 over to the other side.

   +106  +106

2y=70  Finally divide by 2 to get what y equals.

y=35

To find x all you do is plug 35 into one of your equations. I'm goignto use the first one to save time.

x+35= -36 Subtract the 35 over and you'll have x.

x= -71.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i