6.1 Intro to Systems

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

What is the solution?

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

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

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

• Intersecting lines
• Same line
• Parallel lines

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

Is (1 , 2) a solution for the following system of equations?

x + y = 3
x - y = 1

• Yes

• No

• Sometimes

• Not enough information given.