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Use the given inverse of the coefficient matrix to solve the following system. 5x + 2xy = -6 -6x, -2X2 = 2 Select the correct
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Answer #1

\\ ~5x_1+2x_2=-6\\ -6x_1-2x_2=2\\ \\A=\begin{bmatrix} 5 &2 \\ -6 & -2 \end{bmatrix}, ~b=\begin{bmatrix} -6 \\ 2 \end{bmatrix}.\\ \\ Given,~AX=b \\=> A^{-1}AX=A^{-1}b\\ =>X=A^{-1}b.\\ A^{-1} ~ is~ already~ given, ~ by ~multiplying~ we ~get ~ X= \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}=\begin{bmatrix} 4 \\ -13 \end{bmatrix}.

So first option A is right.

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