The two linear equations represented in system A as :
3 x + 2 y =3 -------(1)
- 2 x - 8 y = -1 ------(2)
(1) × 2 + (2) × 3 gives
⇒ 6 x + 4 y - 6 x - 24 y = 6 -3
⇒ - 20 y = 3
⇒ y = 
Putting the value of y in equation (1), we get

Two linear equation represented in system B is:
3. -x - 14 y =1
4. - 2 x - 8 y = -1
-2 ×Equation (3) + Equation (4)=
2 x +28 y- 2 x - 8 y= -2 -1
⇒ 20 y = -3
⇒y =
Putting the value of y in equation (3),we get

As Two system , that is system (A) and System (B) has same solution.
By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Answer: The answer is x = 65 - 60y.
Step-by-step explanation: Given that Miguel is the grandfather of Raul and Paula is Raul's sister.
Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).
Also, given is the following information -
Raul's age = Grandfather's age - 60 × sister's age.
Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

Thus, we can find Paula's age (y) using the equation

where 'x' is the age of Raul.
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
<span>In 1 hour he would do 1/3 of it.
</span>
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
It's a simple linear equation in 'n'. There's only one number that 'n' can be
that will make the equation a true statement. That number is called the
'solution' to the equation. Here's one way to find it:
You said that <u> -7n - 4 = 24</u>
Add 4 to each side: -7n = 28
Multiply each side by -1 : 7n = -28
Divide each side by 7 : <em>n = -4</em>
Homework is the only way for most people to learn stuff.
Answer:
.
Step-by-step explanation:
Given information:
Period = 24 hr
Maximum = 16 at t=16 hr.
Minimum = 10 at t=4 hr.
The general sin function is
.... (1)
where, |A| is altitude,
is period, C is phase shift and D is midline.
Period is 24 hr.
Altitude is
The function is minimum at t=4 and maximum at t=16,phase shift is
Substitute these values in equation (1).
Therefore, the required function is
.