Question

solve each system of equations using matrices.

If the system has no solution, say that it is inconsistent.

$$\begin{gathered} x+\frac{1}{4}y=7 \\ 8x+2y=56 \end{gathered}$$

Short answer

The given equation is inconsistent therefore no solution exists.

Step-by-step solution

Step 1. Given

$$\begin{gathered} x+\frac{1}{4}y=7 \\ 8x+2y=56 \end{gathered}$$

Step 2. Calculation

$$\begin{gathered} ForanequationAX=B \\ whenwefind{A}^{-1} \\ wemultiplyitwiththecurrentexpressioni.e. \\ {A}^{-1}AX=A^{-1}B \\ IX=A^{-1}B \\ X=A^{-1}B \\ Sincegivenmatrixis\sin gularthustheinversecan\text{'}tbeobtained. \end{gathered}$$