Mathematics: Solve the system by using the inverse of the coefficient matrix. -3x + 9y = 9 3x + 2y = 13 Group of answer choices

61* im joking hold onStep-by-step explanation:...

Solve the system by using the inverse of the coefficient

Ответ:

jorell

30.01.2022

Mathematics

x= 3

y=2

Step-by-step explanation:

-3x + 9y = 9 ----------- equation 1

3x + 2y = 13--------------- equation 2

In Matrix Form

$\left[\begin{array}{cc}-3&9\\3&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}9\\13\end{array}\right]$

Let A = $\left[\begin{array}{cc}-3&9\\3&2\end{array}\right]$ X = $\left[\begin{array}{c}x\\y\end{array}\right]$ and B = $\left[\begin{array}{c}9\\13\end{array}\right]$

Then Mathematically AX= B

or X= A⁻¹ B

Where A⁻¹ = Adjacent A/ mod of A

Adjacent A = $\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right]$

Mod Of A= -6 - (27) = -33 which is not equal to zero

so Putting These values in the given formula

X= 1/-33 $\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right]$ $\left[\begin{array}{c}9\\13\end{array}\right]$

Now Multiplying Rows and Columns

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}2*9+- 9*13\\-3*9 +- 3*13\end{array}\right]$

Solving the Matrix we get

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}18-117\\-27-39\\\end{array}\right]$

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}-99\\-66\end{array}\right]$

From Here we find x= 99/33 or 3

and y = 66/33= 2

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Solve the system by using the inverse of the coefficient matrix. -3x + 9y = 9 3x + 2y = 13 Group of answer choices

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