Systems Equations

What is the solution to the system?

• (0, 2)
• (4, 0)
• (3, 1)
• (1, 3)

What is the solution to the system?

• (-1, 1)
• (1, -1)
• (0, -2)
• (2, 0)

What is the solution to the system?

• No solution
• Infinitely many solutions
• (0, -4)
• (3, -3)

What is the solution to the system?

• One solution
• No solution
• Infinitely many solutions

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

• intersecting lines
• parallel lines
• the same line
• skew lines

Parallel lines never intersect because ...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

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

• Parallel lines

• Same lines

• Intersecting lines

Solve the system of equations via substitution:

x -2y = 0

4x + 2y = 15

• no solution

• infinitely many solutions

• one solution (3, 1.5)

• one solution (3, 6)

Solve the system of equations via substitution or graphing:

x +2y = 7

2x + y = 5

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Solve the system of equations by graphing:

y = 8x + 2

y = -x - 7

• (1, 10)

• (-1, -6)

• (2, 7)

• (9, 9)