For this case we have the following system of equations:
We can Rewrite the system of equations of the form:
Where,
A: coefficient matrix
x: incognita vector
b: vector solution
We have then:
![A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]](https://tex.z-dn.net/?f=%20A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C-8%26-3%5Cend%7Barray%7D%5Cright%5D%20%20)
![x=\left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%20x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20)
![b=\left[\begin{array}{ccc}17\\9\end{array}\right]](https://tex.z-dn.net/?f=%20b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D17%5C%5C9%5Cend%7Barray%7D%5Cright%5D%20%20)
Then, the determinant of matrix A is given by:
Answer:
The determinants for solving this linear system are:
<u><em>Answer:</em></u>
The missing term is 3x²
<u><em>Explanation:</em></u>
Addition and subtraction can only take place between like terms.
<u>For two terms to be like</u>, both the variable and its degree must be the same in both terms
<u>Now, consider the given terms:</u>
First term is 7x² has the variable x with degree 2
The resulting term is 10x² has the variable x with degree 2
This means that the missing term is ax²
We need to get the value of "a"
<u>This is done as follows:</u>
ax² + 7x² = 10x²
x²(a+7) = 10x²
a+7 = 10
a = 10-7
a = 3
Therefore, the missing term is 3x²
Hope this helps :)
The unknown number is 1/2 or 0.5.
ex: 4x+6=8
<span>The solution is equal to the coordinates of the point at which the lines are crossed
</span>
(0, -5)
<span />
