MathAlgebraLinear algebraMatrices

Matrix determinant

A quick calculation

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While working on some physical problems of mechanics you arrive at the following system of linear equations.

$\begin{align*} 3x + 6y &= 4 \\ x -2y &= 5 \end{align*}$ Determine if the system has a unique solution and if so, calculate it.

Select one option from the list

The system has no solution

x= \frac{38}{12} \qquad y= \frac{11}{-12}

x= -\frac{28}{12} \qquad y= - \frac{31}{12}

The system has infinitely many solutions

x= -\frac{27}{13} \qquad y= - \frac{32}{13}

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