Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point form: (3, -3)
Equation form: x = 3, y= -3
The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
_____
The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
Answer:
x=90.
Step by step explanation:
To solve the expression 
, and obtaining a value for x we can do the following:
- Add 1 both sides of the equation. This will result in
⇒
. - Multiply both sides by 6, which yields
. This results in 
.
Answer:
6/21
Step-by-step explanation:
1. First, check all the possible combinations for a pair of dice:
1-1
1-2 2-2
1-3 2-3 3-3
1-4 2-4 3-4 4-4
1-5 2-5 3-5 4-5 5-5
1-6 2-6 3-6 4-6 5-6 6-6
(Those are the numbers of the dice, separated by hyphons.)
2. Next, find out the products, since that is the info we need to go off of.
1
2 4
3 6 9
4 8 12 16
5 10 15 20 25
6 12 18 24 30 36
(those are all the products based on the same chart we saw above.)
3. Now, let's calculate the probability.
- Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
- Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
- Find the total amount of numbers. There are 21 in our case.
4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)
There are 21 total.
6/21
If you need decimal form, there is a
0.2857 chance.
Hope this helped.
