Algebra A: Summative - Solving Systems of Linear Equations.

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Identical line
• Parallel lines

^{What is the solution to the system?} 

• (1,1)
• -2
• (1, 2)
• (1, -1)

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Work Must be shown:

Use substitution to solve this system?

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system by graphing:

Use Desmos and send Mr. Kelcourse of a copy of the graph via email.

y = 6x - 4

y = -x + 3

• (1, 2)

• (2, 1)

• (4, 5)

• (2, 4)

Solve the following system of equations by graphing: Use Desmos and send Mr. Kelcourse a copy of the graph via email.

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

Work Must be shown:

Solve the following system using substitution:

 $y=-2$ 

 $4x-3y=18$ 

•  $\left(-3,\ -2\right)$  

•  $\left(3,\ 2\right)$ 

•  $\left(-2,3\right)$ 

•  $\left(2,\ 3\right)$