System Review

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (3, 1)

• One Solution: (1, 3)

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 4)

• One Solution: (0, 6)

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

A system of equations with one solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

What is the solution to the system?

• (6, 8)
• (8, 6)
• (-6, 8)
• No solution

Solve this system of equations by graphing. 
y = 1/2x + 2
y = -3x + 9

• (2,3)
• (-2,-3)
• (3, 2)
• (-3,2)

What is the solution to the system?

• (-2, 2)

• (2, 2)

• (2, -2)

• (-3, 1)

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

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