How many values of x make each statement true? Explain your reasoning.
a) 3x+3=3(x+1)
b) x-4-x=0
I don't get what the question is telling me to do.
Help?
In (a), all values of x make the statement true, because both sides of the equation are actually the same: if you expand the right-hand side, you'll see that all it's saying is that 3x+3=3x+3, so any value of x you care to choose will make that statement true.
In (b), no value of x will make the statement true, because the two x's cancel each other out, leaving you with the statement that -4=0, which is false. There's no value of x you can put into that equation that will make it true.
pkn
What property is shown in the equation below?
-43 ÷ (-1) = 43
Sure, I can help you with that!
The question is asking you to find out how many values of x will make each statement true. Let's break it down step by step:
a) 3x+3=3(x+1)
To solve this equation, first, distribute the 3 on the right side:
3x + 3 = 3x + 3
Now, subtract 3x from both sides to isolate the variable:
3 = 3
In this case, you'll notice that no matter what value of x you choose, the equation remains true. This means that there are infinitely many solutions for this equation. So, the number of values of x that make the statement true for this equation is infinite.
b) x-4-x=0
Here, we can simplify the equation by combining like terms:
-4 = 0
Now, notice that -4 is not equal to 0. In fact, these two numbers are different. This means that there is no value of x that can make this equation true. So, in this case, there are no values of x that make the statement true.
To summarize:
- For the equation 3x+3=3(x+1), there are infinitely many values of x that make the statement true.
- For the equation x-4-x=0, there are no values of x that make the statement true.
I hope this explanation clarifies the question for you! Let me know if you have any more doubts.