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Ganezh [65]
2 years ago
10

Solve the system using a matrix. (8x + 5y = 38 (3x + 2y = 14 ([ ? ],[_])

Mathematics
1 answer:
kogti [31]2 years ago
6 0

Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

A suitable calculator or spreadsheet can do the row-reduction or matrix inversion required to solve this system.

  (x, y) = (6, -2)

_____

For matrices ...

  A=\left[\begin{array}{cc}8&5\\3&2\end{array}\right],\ B=\left[\begin{array}{c}38\\14\end{array}\right] ,\ X=\left[\begin{array}{c}x\\y\end{array}\right]

The solution can be found as ...

  AX=B\ \longrightarrow\ X=A^{-1}B

or by row-reducing the augmented matrix ...

  [A|B]\ \longrightarrow\ [I|X]

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Step-by-step explanation:

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4 years ago
Read 2 more answers
Given the line of the best fit for a set of data points with equation y=-5x-2.5 what is the residual for the point (3,6)
HACTEHA [7]

Answer:

The residual of the point (3,6) in the equation y=-5(x)-2.5 is = 23.5

Step-by-step explanation:

We have been given point (3,6) where x=3.

Now the equation is y=-5(x)-2.5.

Plugging the value of x=3 in the equation of y=-5(x)-2.5,

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To find the residual point we have to subtract the actual value from the predicted value.

As actual value of y=6 along with the points (3,6).

Residual point = Actual value - Predicted value.

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4 years ago
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