Question

How many solutions are there to the equation below ? 8x +47 =8(x+5)

Answer 1

None

Explanation:

To solve this equation, we need to make both sides look the same and find the x that does the trick. We can do this by doing some algebra:

✧ Open up the brackets on the right side: 8x + 47 = 8x + 40

✧ Take away 8x from both sides: 47 = 40

✧ This is a contradiction, so there is no x that makes the equation happy.

Therefore, the equation has no solutions. You can test this by putting in any x and seeing that the left and right sides don't match. For example, if x = 1, then the left side is 55 and the right side is 48.

Answer 2

0

Explanation:

8x + 47 =8(x + 5)

Distribute 8 on the right side.

8x + 47 = 8x + 40

Subtract 8x from both sides.

47 = 40

Since 47 = 40 is a false statement, there is no solution.

Answer: 0