Exam 8: Systems of Linear Equations and Inequalities

Use row operations to transform the matrix to reduced form.

Write the partial fraction decomposition for the given rational expression.

Evaluate the determinant.

Write the system of linear equations as an augmented matrix. 18x - 16y + 14z = -16 -13x + 19y - 22z = 1 -28x - 27y - 13z = -21

Solve the system of linear equations for v, w, and x.

Solve the system of linear equations by elimination. 7x - 11y = 81 14x - 22y = -162

Evaluate the 2 x 2 determinant.

Solve the system of linear equations by substitution.

Find the partial-fraction decomposition for the rational function.

A health food company mixes dried fruit with walnuts to make a trail mix blend. How many pounds of each ingredient must be mixed if dried fruit sells for $7.71 per pound, walnuts sell for $2.51 per pound, and the company produces 45 pounds per batch valued at $242.95? Let d represent the number of pounds of dried fruit and w the number of pounds of walnuts.

Apply the matrix algebra to solve the system of linear equations. 4r + 4s - 6t = -22 2r + 7s + 2t = 14 -6r - 2s + 2t = -2

Write the partial fraction decomposition for the given rational expression.

Perform the indicated operations for the expression, if possible.

Solve for the indicated variable.

Find the partial-fraction decomposition for the rational function.

Use row operations to transform the matrix to reduced row-echelon form.

Solve the system of linear equations by substitution. 5x + 4y = 26 6x - 2y = 4

Solve the system of linear equations by substitution. 2x - 7y = 0 3x - 8y = 5

Calculate AB if and

Find the partial-fraction decomposition for the rational function.