Answer:
x / y
-1 / 2
0 / 1
1 /
0
2 / 1
3 /
2
Step-by-step explanation:
Answer:
it 66
Step-by-step explanation:
Answer:
the value of x is 2
Step-by-step explanation:
Given the system
Cramer's rule has you compute 3 determinants, based on different matrices of the coefficients. We can call them A, B, C. Then x and y are found from their ratios.
![A=det\left[\begin{array}{cc}2&-1\\5&-2\end{array}\right] =2(-2)-5(-1)=1\\\\B=det\left[\begin{array}{cc}3&-1\\8&-2\end{array}\right] =3(-2)-8(-1)=2\\\\C=det\left[\begin{array}{cc}2&3\\5&8\end{array}\right] =2(8)-5(3)=1\\\\x=\dfrac{B}{A}=\dfrac{2}{1}=2\\\\y=\dfrac{C}{A}=\dfrac{1}{1}=1\\\\(x,y)=(2,1)](https://tex.z-dn.net/?f=A%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-1%5C%5C5%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D2%28-2%29-5%28-1%29%3D1%5C%5C%5C%5CB%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26-1%5C%5C8%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D3%28-2%29-8%28-1%29%3D2%5C%5C%5C%5CC%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%263%5C%5C5%268%5Cend%7Barray%7D%5Cright%5D%20%3D2%288%29-5%283%29%3D1%5C%5C%5C%5Cx%3D%5Cdfrac%7BB%7D%7BA%7D%3D%5Cdfrac%7B2%7D%7B1%7D%3D2%5C%5C%5C%5Cy%3D%5Cdfrac%7BC%7D%7BA%7D%3D%5Cdfrac%7B1%7D%7B1%7D%3D1%5C%5C%5C%5C%28x%2Cy%29%3D%282%2C1%29)
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<em>Comment Cramer's Rule</em>
When the solution is some strange fraction, or when you only need one of the variable values (as here), Cramer's rule can get you there pretty directly.
The pattern of coefficient usage in Cramer's rule can be difficult to remember. If you swap the columns of each of the matrices, the pattern can be easier to remember, so that you can even do the math in your head.
To find the midway point of 2 numbers, we find their sum and divide that by 2. For this, we add -24 and 36 ( which amounts to 12) and divide that by 2, meaning that midpoint B is 12/2=6