Simultaneous Linear Equations

Solve using elimination.
 2x + 3y = 12
-2x + 2y = 18

• (-3, 6)
• (15, -6)
• no solution
• infinitely many solutions

Solve using elimination.
-4x - 2y = -12
 4x + 8y = -24

• (6, -6)
• (-6, 6)
• No Solution
• Infinitely Many Solutions

Solve using elimination. 
4x+4y=4
3x+4y=10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

Solve the system by substitution.
y = x + 5
4x + y = 20

• (3,8)
• (8,3)
• (0,2)
• (2,0)

Solve the system by substitution.
y = -3x + 4
x = 2y + 6

• (2,-2)
• (-2,2)
• (1,4)
• (-1,4)

Solve the system by substitution.
x - y = 6
y = 2x - 5

• (1,3)
• (-1,3)
• (-1,-7)
• (1,-7)

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

• a = 7
  b = 10
• a = 8
  b = 5
• a = 10
  b = 13
• a = 10
  b = 3

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

• Intersecting Lines
• Parallel Lines
• Skew Lines
• Same Line Twice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

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

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)