Equations How Many Solutions

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8A

How many solutions does this system have?

y = 5x - 3

y = 5 - 3x

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

y = 12x - 20

4y = 48x - 80

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

y = 2x + 10

y = -2x + 10

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

y = x + 3

y = x − (-3)

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

3y = -2x + 10

3y = -2x − 1

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

y = 4x + 8

y = 5x + 1

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

2y = 16x – 2

y = 8x + 2

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

What is the solution to the equations?

• one solution

• no solution

• infinite solutions

• none of these

Answer explanation

-2=-2 is a true statement with no variables and thus means infinite solutions.

Tags

CCSS.8.EE.C.7A

• one solution

• no solution

• infinite solutions

Answer explanation

The given equation is 5x + 4 = 5x + 4. If we remove the same value from both sides, we are left with 0 = 0. This is always true, meaning every value for x will satisfy the equation. Therefore, the question has infinite solutions.

Tags

CCSS.8.EE.C.7A