Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

How many solutions are there to the equation below?

4x + 47 = 4(x + 5)

A. No solution
B. Infinitely many solutions
C. One solution

Sagot :

GinnyAnswer
To determine the number of solutions to the equation [tex]\( 4x + 47 = 4(x + 5) \)[/tex], let's work through it step by step.

1. Start with the given equation:
[tex]\[ 4x + 47 = 4(x + 5) \][/tex]

2. Distribute the 4 on the right-hand side:
[tex]\[ 4x + 47 = 4x + 20 \][/tex]

3. Subtract [tex]\( 4x \)[/tex] from both sides to simplify:
[tex]\[ 47 = 20 \][/tex]

4. Analyze the resulting statement:
[tex]\[ 47 = 20 \][/tex]
This statement is clearly false since 47 is not equal to 20.

Since this contradiction arises, it means that there are no values of [tex]\( x \)[/tex] that can satisfy the original equation. Therefore, the equation has:

A. No solution

So, the correct answer is:
A. No solution
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.