Solving a System of Equations

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Does the system have one, none or infinite solutions?

8x + 4y = 12

y = -2x + 3

• One Solution

• No Solution

• Infinitely Many Solutions

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

Tags

CCSS.HSA.REI.C.9

If a system of equations has infinitely many solutions, what does the graph look like?

• intersecting lines

• parallel lines

• the same line (coinciding lines)

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

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Tags

CCSS.8.EE.C.8A

Solve the System of Equations by Substitution: 4x + 6y = 16 and x = -2

• (-2, 1)

• (-2, 4)

• (-2, 2)

-2x - 4y = 22

10x + 4y = 18

• (5, -8)

• (-5, -8)

• (-8, 5)

• (-8, -5)

• (5,8)

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

2x + 2y = -2

3x - 2y = 12

• you cannot solve this using elimination

• cross out the 2x and 3x

• cross out the 2y and -2y

• change to slope intercept form and graph