William solves the equation 5(3x-2)=15x-2. How many solutions does he find?
A.0 solutions
B.1 solution
C.2 solutions
D.Infinitely many solutions
I'm only up to making it to:
15x-10= 15x-2
I was also wondering if I did anything wrong.
There would be 0 solutions?
You are right.
So -- how many solutions are there?
Yes. 0 solutions.
Thank for you help.
You're welcome.
To solve the equation 5(3x-2) = 15x-2, you are on the right track by distributing the 5 to both terms inside the parentheses. However, it seems like there was a mistake in your last step.
Let's go through the process step by step:
1. Start with the given equation: 5(3x-2) = 15x-2
2. Distribute the 5 to both terms inside the parentheses:
15x - 10 = 15x - 2
3. Notice that the variable, x, appears on both sides of the equation, and it cancels out when we simplify:
15x - 15x - 10 = - 2
4. Simplify the equation:
-10 = -2
When we simplify further, we find that -10 is not equal to -2, which means the equation is inconsistent. In other words, there are no values of x that make the equation true.
Therefore, the answer is A.0 solutions.