91Ó°ÊÓ

Solve each equation. \(\left[\begin{array}{r}{3 x+2} \\\ {15}\end{array}\right]=\left[\begin{array}{r}{23} \\ {-4 y-1}\end{array}\right]\)

Use Cramer's Rule to solve each system of equations. $$ \begin{array}{l}{3 x+2 y=-2} \\ {x-3 y=14}\end{array} $$

State the dimensions of each matrix. $$ \left[\begin{array}{llll}{2} & {0} & {3} & {0}\end{array}\right] $$

Solve each equation. \(\left[\begin{array}{l}{x+3 y} \\ {2 x-y}\end{array}\right]=\left[\begin{array}{r}{-22} \\ {19}\end{array}\right]\)

Write an equation in slope-intercept form for the line that satisfies each set of conditions. slope \(-\frac{4}{3},\) passes through \((6,-8)\)

Determine whether each matrix product is defined. If so, state the dimensions of the product. $$ A_{2 \times 5} \cdot B_{5 \times 5} $$

State the dimensions of each matrix. $$ \left[\begin{array}{rrrr}{5} & {1} & {-6} & {2} \\ {-38} & {5} & {7} & {3}\end{array}\right] $$

Solve each equation. \(\left[\begin{array}{r}{x+3 z} \\ {-2 x+y-z} \\ {5 y-7 z}\end{array}\right]=\left[\begin{array}{r}{-19} \\ {-2} \\\ {24}\end{array}\right]\)

Write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through \((3,7)\) and \((-2,-3)\)

Perform the indicated matrix operations. If the matrix does not exist, write impossible. $$ 2\left[\begin{array}{rrr}{4} & {9} & {-8} \\ {6} & {-11} & {-2} \\ {12} & {-10} & {3}\end{array}\right]+3\left[\begin{array}{lll}{1} & {2} & {3} \\ {2} & {3} & {4} \\ {3} & {4} & {5}\end{array}\right] $$