Solving Equations Matrices

Solve by matrices.

4x+9y=28

-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by matrices.

7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

What is the first step in solving a system of equations by elimination/matrices?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

3x + y = –14

–2x – y = 9

Which method would be best for solving this system?

• Substitution

• Elimination/Matrices

Solve the system of equations using matrices: 3x + 2y - z = 11, 2x - y + 3z = 4, and x + 3y - 2z = 9.

• The solution for the system of equations is x = 3, y = 2, and z = 1.

• The solution for the system of equations is x = 3, y = 1, and z = 2.

• The solution for the system of equations is x = 2, y = 3, and z = 1.

• The solution for the system of equations is x = 1, y = 3, and z = 2.

What do w, x, y and z equal in this matrix equation?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

Solve the systems of equation using matrices.

• (4, 3, -1)

• (3, 8, 9)

• All Real Numbers

• No Solution

Solve the system using matrices.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

What is one type of math problem that students first learn to use matrices for?

• They learn how to use matrices to calculate logarithms.

• They learn how to use matrices to solve a system of equations.

• They learn how to use matrices for geometry.

• They learn how to use matrices to do factoring.