systems by substitution part 1

x = 3y

2x - y =10

• (4, 5)

• (1, 1)

• (5, 8)

• (6, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 2x + 3

y = 5x

• (1, 5)

• (2, 8)

• (1, 1)

• (10, 13)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 2x - 4

7x - 2y = 5

• (-1, -6)

• (-1, -8)

• (-2, 6)

• (1, -8),

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system of equations
y=8x-5
y=2x+19

• (1,3)
• (2.4, 23.8)
• (2.5,15)
• (4,27)

y = -2x + 5
y = 2x - 11

• No Solution
• (0, 0)
• (3, -1)
• (4, -3)

Solve:
y = 2x -11
-3y = -6x -15

• (-1.5,-4)
• (1.5,4)
• No solution (parallel lines)
• Infinitely many solutions

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A