Systems

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1.5)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Determine the slope and y-intercept.         y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Solve:
y = -1x - 5
4x - 8y = 4

• (-3, -2)

• (5, -7)

• (3, 9)

• (-5, 4)

Solve: y = 8x + 9

2y + 2x = -18

• (5, 0)

• (9, 18)

• (-2, -7)

• (1, 16)

Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Solve by elimination
4x-6y= -6
-2x-12y= -12

• (0,1) 

• (1,0)

• (1,1)

• (2,1)