Systems: Elimination and Substitution

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution
• Elimination
• Graphing
• None of these

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)
• (11, 8)
• (5, 14)
• (8, 11)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

When does a system of equations have no solutions?

• When the lines cross
• When slopes of the lines are different
• When the slopes are the same
• There is ALWAYS a solution sir!

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

• Substitution
• Elimination
• Graphing
• None

Solve the system:
2x - 5y = 12
y = -2

• y = -2
• (11, -2)
• (1, -2)
• no solution

Which method would be best (based on their  for solving the system below:
y = 2x - 5
y = (-1/4)x + 17

• Graphing
• Elimination
• Not possible

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)
• (11, 1)
• (1, 11)
• no solution

Solve the system:
2x + 3y = -2
3x - 2y = 23

• (5, -4)
• (-4, 5)
• (-5, 4)
• infinite solutions