Solve a System of Equations Matrix

• a

• b

• c

• d

• 
• 
• 
• 

Solve for y:

2x + y = 12

-3x + y = 2

• -2

• 8

• -8

• 2

Solve for y :

3x + 4y = 52

5x + y = 30

• 10

• 4

• -10

• -4

Solve the system for the value of x.

5x + 8y = -12

3x + 5y = -7

• 1

• -1

• -4

• No solution

Solve the system of equations: 

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)

Solve the system.  Write the matrix equation on your own paper.
5x + 8y = -12
3x + 5y = -7

• (1, -10)

• No solution

• (-4, 1)

• (1, 10)

Solve:
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4

• (4, 0, -2)

• (-4, 0, -2)

• Many Solutions

• I did not get any of the answers above so I am assuming none of the above.

What is a 
System of Equations?

• A method of solving a system of equations in which one equation is solved for one variable in terms of the other.

• Eliminate one of the variables in a system of equations by adding or subtracting the equations.

•  A set of two or more equations with the same variables.

• Two n X n matrices whose product is the identity matrix.

What is the
Elimination Method?

• A method that uses determinants to solve a system of linear equations.

• A set of two or more equations with the same variables.

• Eliminate one of the variables in a system of equations by adding or subtracting the equations.

• A method of solving a system of equations in which one equation is solved for one variable in terms of the other.