Apaulus4907idn
Answered

IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.

How many solutions are there to the equation below?

[tex]8x + 47 = 8(x + 5)[/tex]

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

Sagot :

GinnyAnsweridn
To determine the number of solutions to the equation [tex]\( 8x + 47 = 8(x + 5) \)[/tex], let's go through a step-by-step analysis.

1. Start with the given equation:
[tex]\[ 8x + 47 = 8(x + 5) \][/tex]

2. Distribute the 8 on the right-hand side:
[tex]\[ 8x + 47 = 8x + 40 \][/tex]

3. Next, subtract [tex]\( 8x \)[/tex] from both sides of the equation:
[tex]\[ 8x + 47 - 8x = 8x + 40 - 8x \][/tex]
Simplifying this, we get:
[tex]\[ 47 = 40 \][/tex]

4. We see that [tex]\( 47 = 40 \)[/tex] is a contradiction since 47 is not equal to 40.

Therefore, the equation [tex]\( 8x + 47 = 8(x + 5) \)[/tex] has no solutions.

So, the correct answer is:
B. No solution
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.