Solving Systems of Equations - Geyer

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

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

Answer explanation

What is the solution for this system of equations?

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

Answer explanation

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Answer explanation

Find the solution to the system.
y = x-6
y = -3x + 2

• (0, -6)
• (6, 0)
• (-4, 2)
• (2, -4)

Answer explanation

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4x + 6y = 3

  13.5x - 13y = 6

• x + y = 4

  x - y = 6

• 4x + 6y = 13

  3x + 7y = 13.5

• 4x - 6y = 13

  3x - 7y = 13.5

Answer explanation

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

• Parallel lines
• the same line 
• Intersecting lines

Answer explanation

What is the best method and first step for solving this system of equations?

2x - 3y = 6

7x - 3y = -9

• Elimination; Add vertically and solve for x

• Elimination; Multiply the top equation by -1, then add vertically and solve for y

• Elimination; Multiply the top equation by -1, then add vertically and solve for x

• Elimination; Multiply the bottom equation by -1, then add vertically and solve for y

Answer explanation

What is the best method and first step to solve this system of equations?

x = - 3

2x + 3y = 6

• Substitution; you can substitute the bottom equation into the top and solve for y

• Substitution; you can substitute the top equation into the bottom and solve for y

• Elimination; you can add vertically and solve for y

• Elimination; you can multiply the top equation by 2 and solve for y

Answer explanation

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Answer explanation

What is the solution to the system of equations?

• (-1, -3)

• (3, 1)

• (1, 3)

• (-3, 1)

Answer explanation