Algebra 2 Solving Systems

4x+8y=20
-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

-6x+5y=1
6x+4y=-10

• (1,-1)

• (0,-1)

• (1,1)

• (-1,-1)

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

• No Solution

• (2,0)

• (-4,0)

• (0,0)

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

• Infinitely Many

• No Solution

• (3, 0)

• (12, 12)

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

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

• a = 7

  b = 10

• a = 8

  b = 5

• a = 10

  b = 13

• a = 6.5

  b = 2