Tim is working to determine if each equation given by his teacher has zero, one or infinite solutions. You need to identify his mistake for each problem, work out the correct solution and submit the work on #3. Click Here for Rubric

Question

On the next question you will be required to show your work for this problem.

Question A.

9(5x+4)+5+x=45x+40

First we will "Distribute the 9 first."

9⋅5x+9⋅4+5+x=45x+40

Next we will simplify.

45x+36+5+x=45x+40

Now we will combine like terms.

45x+41=45x+40

Subtract

41=40

So this means there are zero solutions.

The correct answer is: (if there are infinite solutions then type "infinite" otherwise state the value for
x.

x=

Answer 1

The mistake in Tim's work is in the simplification step. Here is the correct solution:

9(5x+4)+5+x = 45x+40

Distribute the 9:

45x+36+5+x = 45x+40

Combine like terms:

46x+41 = 45x+40

Subtract 45x from both sides:

x+41 = 40

Subtract 41 from both sides:

x = -1

So the correct solution is x = -1.