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.
