Answer:
The common multiple is 18
Step-by-step explanation:
Because 9*2=18 and 18*1=18
In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:
![\begin{cases}-6x-2y=-18 \\ x+2y={3}\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D-6x-2y%3D-18%20%5C%5C%20x%2B2y%3D%7B3%7D%5Cend%7Bcases%7D)
Now, adding the equations, we have:
![\begin{gathered} -6x-2y+x+2y=-18+3\\ \\ -5x=-15\\ \\ x=\frac{-15}{-5}\\ \\ x=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-6x-2y%2Bx%2B2y%3D-18%2B3%5C%5C%20%5C%5C%20-5x%3D-15%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B-15%7D%7B-5%7D%5C%5C%20%5C%5C%20x%3D3%20%5Cend%7Bgathered%7D)
Now, calculating the value of y, we have:
![\begin{gathered} x+2y=3\\ \\ 3+2y=3\\ \\ 2y=0\\ \\ y=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B2y%3D3%5C%5C%20%5C%5C%203%2B2y%3D3%5C%5C%20%5C%5C%202y%3D0%5C%5C%20%5C%5C%20y%3D0%20%5Cend%7Bgathered%7D)
Therefore the solution is (3, 0).
<span>Linear regression is a method of finding the linear equation that comes closest to fitting a collection of data points.
</span>The better the choice of line, the closer the predicted values will be to the observed values.
The differences between the data pints (observed values) and the estimated (pedicted) regression line is called the <span>residue.
</span>Residue = Observed Value -<span> Predicted Value</span>
Answer: 3, 5, 7
Step-by-step explanation:
There is a "trick" to determine divisibility by 3: if the sum of the digits is divisible by 3, the number is divisible by 3.
3 + 1 + 5 = 9 which is a multiple of 3, so 315 is divisible by 3.
It works for 9 also. since the sum of the digits is 9, 315 is divisible by 9.
Divisibility by 5: any number that has the units digit 5 or 0 is divisible by 5.
For 7, I just tried it 315÷7= 45
Only even numbers are divisible by 2.
If a 3-digit number is divisible by 11, the middle digit will be the sum of the first and last digits. (That is not the case for 315) But 385 is divisible by 11, also 495, 253, and many others you can try for fun.