Solve the system below using augmented matrix methods. Graph each solution set. Discuss the difference between the graph of an equation in the system and the graph of the system's solution set. 4x, - 2x2 = 16 8x, - 6x2 = 16 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The unique solution is X, =D and x2 (Simplify your answers.) There are infinitely many solutions. The solution is x, = and X2 = t, for any real number t. (Type O B. an expression using t as the variable.) OC. There is no solution.

Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by back substitution. 3x₁7x2 + 2x3 = -8 - 9x₁ + 21x2 - 6x3 = 26 6x₁14x2 + 4x3 = - 19 An echelon form for the coefficient matrix is

Solve each system of equations without graphing. 5x + 14y = -5 a. -3x + 10y = 72 U = E E XA

Solve each system if equations without graphing.

You have space in your garden for 55 small flowering bulbs. Crocus bulbs cost $0.55 each and daffodil bulbs cost $0.95 each. Your budget allows you to spent $41.85 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy? Write a system of equations to represent the situation. Solve using matrices. Write the matrix and inverse equations.

Determine whether each ordered pair is a solution of the system of linear equations. 3x-y 1 x + 6y = 13