Linear Systems Matrices

Solve the system of equations.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system of equations:

-12x - 4y= -8   

-6x - 2y= -4

• no solution 

• (0,0)

• infinite solutions 

• (4,0)

Solve the system of equations:

-4x - 6y = 6

4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

• Infinite solutions

The school that Nick goes to is selling tickets to their annual talent show. On the first day of ticket sales, they sold 12 adult tickets and 15 children tickets and made $132. On the second day of ticket sales, they sold 8 adult tickets and 11 children tickets for $92. Let x = cost of adult tickets Let y = cost of children tickets Write a system of linear equations.

Solve the system of equations using a matrix technique and your GC

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)

• a

• b

• c

• d

Solve the linear systems together by using the values of b for two separate systems, then reducing an appropriate augmented matrix to reduced row echelon form. Write your answer as (x1, x2), (x1, x2) form.

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• a

• b

• c

• d

• 
• 
• 
• 

Solve the system by inverting the coefficient matrix and using (A^-1)(x)=b. Enter your answer as (x1, x2) format.

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