Answer:
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Step-by-step explanation:
Answer:
Valid
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
with the information given, we can express the equation:
where is the unknown number?
to clear for first we multiply the equation by 2, to eliminate the fraction:
moving all terms with to the left:
and adding +16 to each side:
and finally, dividing by 3
the number is 4.
Answer:
x = 1, y = 4
Step-by-step explanation:
y = 4x
x + y = 5
Since 4x is equal to the variable y, we can substitute it in for y in the second equation.
x + (4x) = 5
Solve for x.
x + 4x = 5
5x = 5
5x/5 = 5/5
x = 1
Now that we have solved for x, we need to solve for y.
y = 4x
x = 1 so substitute the x with 1.
y = 4(1)
y = 4
We can plug both of our answers into any one of the given equations to check our work
x + y = 5
x = 4 and y = 1
4 + 1 = 5
5 = 5
Our answers check out!
The resulting matrix of the row operation is given as follows:
![R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=R%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264.5%26-6%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
<h3>How to find the resulting matrix?</h3>
We apply the row operation on the original matrix, given as follows:
![A = \left[\begin{array}{ccc}4&3&0\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%260%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
The operation is given by:

That is, applying to each element, we have that:
Hence the resulting matrix is:
![R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=R%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264.5%26-6%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
More can be learned about matrix operations at brainly.com/question/1821869
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