Linear Systems Using Matrices

Solve the system of equations: 

• ( -1, 6, 1)

• ( 1, 6, -1)

• None of these

• ( -6, -1, 1)

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Solve the System of Equations using Augmented Matrices.

-3x +3y = 27

x + 2y = 3

• (5,-4)

• (5,4)

• (-5,4)

• (-5,-4)

Find the solution of the system given:

3x - y = 7

2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

Solve the system.

2x + y = 3 and 4x + 4y = 8

3x + y = –21
x + y = –5
 
Answer:
x = –8
y = 3 

• True

• False

A system of equations is shown below.
3x + 6 = 4y
3x − 2y = 0
What is the x-value in the solution to the system?

Mathematical Equivalence

ON

Which ordered pair is the solution of the following system of equations? -x + y = -13 -8x - 4y = -8

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)