Equations with No Solution/Infinite Solutions

Equations with No Solution/Infinite Solutions

By Brian Cox

Multiple Choice

Which equation will have one solution?

• $$2x+7=2x-1$$

• $$6x+5=6x+5$$

• $$-2x+8=3x-12$$

Multiple Choice

Which equation will have no solution?

• $$2x+7=2x-1$$

• $$6x+5=6x+5$$

• $$-2x+8=3x-12$$

Multiple Choice

Which equation will have infinite solutions?

• $$2x+7=2x-1$$

• $$6x+5=6x+5$$

• $$-2x+8=3x-12$$

Categorize

Options (7)

$$3\left(x-4\right)=18$$  

$$4x-17=x+4$$  

$$2\left(x-8\right)=7\left(x+2\right)$$  

$$x+8=x+3$$  

$$5\left(4x-1\right)=10\left(2x+3\right)$$  

$$2x-9=2x-9$$  

$$4\left(3x+6\right)=2\left(6x+12\right)$$  

Determine how many solutions each equation will have.

One Solution

No Solution

Infinite Solutions