What is the answer to 3x - 9 equals 3 (x-5)

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Answer:

No solution

Step-by-step explanation:

To find the solution to 3x - 9 equals 3(x - 5), we would have to solve for x.

First set the two expressions equal to each other.

3x - 9 = 3(x - 5)

Now we can distribute the 3 on the right side.

3x - 9 = 3x - (3 * 5)

Simplify

3x - 9 = 3x - 15

Now lets try to get x alone on one side of the equality. Subtract 3x from both sides to cancel out of 3x on the right side.

3x - 9 - 3x = 3x - 15 - 3x

-9 = -15

And as you may have realized, -9 does not equal -15.

Why did the x disappear? Why did we end up with -9 = -15 which is clearly a false statement? This is because the the lines y = 3x - 9 and y = 3(x - 15) are parallel. Thus, they will never intersect and the equality 3x - 9 = 3(x - 5) will have no solution.

So there is no solution.

I hope you find my answer to be helpful. Let me know if you have any questions. Happy studying.

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