Answer each question. By what expression should we multiply each side of 5/((3x(2x + 1)) = A/(3x) + B/(2x + 1) so that there are no fractions in the equation?

Answer each question. What is the product [3x3 matrix] [3x3 matrix]?

Answer each question. By what expression should we multiply each side of (3x - 2)/(x + 4)(3x^2 + 1) = A/(x + 4) + (Bx + C)/(3x^2 + 1) so that there are no fractions in the equation?

Use the substitution or elimination method to solve each system of equations. Identify any inconsistent systems or systems with infinitely many solutions. If a system has infinitely many solutions, write the solution set with y arbitrary.

$\frac{1}{6x}+\frac{1}{3y}=8$

$\frac{1}{4x}+\frac{1}{2y}=12$

What is the value of x if ?

Answer each question. By what expression should we multiply each side of (3x - 1)/(x(2x^2 + 1)^2) = A/x + (Bx + C)/(2x^2 + 1) + (Dx + E)/(2x^2 + 1)^2 so that there are no fractions in the equation?

Find the partial fraction decomposition for each rational expression. See Examples 1–4. 5/(3x(2x + 1))

Use the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (4x + 2)/((x + 2)(2x - 1))

Use the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2

Find the partial fraction decomposition for each rational expression. See Examples 1–4. x/(x² + 4x - 5)

Graph each inequality. x + 2y ≤ 6

Find the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.

$\mid \begin{array}{c}-9\end{array}\mid$