Answer:
x = 5
y = 1
Step-by-step explanation:
So move 2y from the second equation to the other side of the equals sign
2x +3y = 13
x = 3 + 2y
From here substitute X into the first equation
2(3 + 2y) + 3y = 13
Distribute
6 + 4y +3y = 13
Combine like terms and solve for y
7y = 7
y = 1
insert result into the original equation.
x-2(1) = 3
x - 2 = 3
x = 5
insert into other equation to check work
2(5) + 3(1) = 13
10 + 3 = 13 correct
Let
. Then
and
are two fundamental, linearly independent solution that satisfy
Note that
, so that
. Adding
doesn't change this, since
.
So if we suppose
then substituting
would give
To make sure everything cancels out, multiply the second degree term by
, so that
Then if
, we get
as desired. So one possible ODE would be
(See "Euler-Cauchy equation" for more info)
What you need to know in order to answer this:
In math, the symbol " ! " is used to indicate "factorial".
"Factorial" means the product of the integers from 1
up to the number.
Examples:
2 ! = "two factorial" = 1 * 2 = 2
4 ! = "four factorial" = 1 * 2 * 3 * 4 = 24
For this question:
10 ! = "ten factorial" = 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10
= 3,628,800 .
If you look at your calculator very closely, I'll bet you
there's a key on it marked " x ! " .
Enter a whole number into the calculator, and that key
gives you the factorial of the number.
And by the way, the points aren't 'free'. I had to
give you some information in order to earn them.
Answer:
A. x=3
Step-by-step explanation:
4(5x+3)=14x+30
multiply 4 to 5x and multiply 4 yo 3
20x+12=14x+30
move terms
20x-14x=30-12
subtract 20x to 14x and subtract 30 to 12
6x=18
divide both sides by 8
x=3
Answer: 60%
1000÷2=500
Clive: 500-100= 400
Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)
