apaulus4907
Answered

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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 :

GinnyAnswer
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
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