systems of equations: substitution and elimination

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)

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

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

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

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

What is the solution?

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

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many