Linear Systems Matrix

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

A _____ is a rectangular arrangement of numbers.

• matrix

• dimension

• coefficient

• system

A matrix derived from a system of linear equations is the _____ _____ of the system.

• augmented matrix

• constant matrix

• linear matrix

• coefficient matrix

Before you write an augmented matrix, make sure each equation in the system is written in _____ _____ .

• standard form

• random order

• decreasing order

• original form

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4)