7. Systems of Equations & Matrices

Evaluate the determinant of the matrix.

Write each equation in standard form and use Cramer's Rule to solve the system.

$y=-3x+4$

$-2x=7y-9$

Evaluate the determinant of the matrix.

Solve the system of equations using Cramer's Rule.

$4x+2y+3z=6$

$x+y+z=3$

$5x+y+2z=5$

What is the value of ?

Evaluate each determinant in Exercises 1–10.

$\begin{vmatrix}5 & 7 \\2 & 3\end{vmatrix}$

What expression in x represents ?

Evaluate each determinant in Exercises 1–10.

$\begin{vmatrix}-4 & 1 \\5 & 6\end{vmatrix}$