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Which equation is equivalent to [tex]\(4s = t + 2\)[/tex]?

A. [tex]\(s = t - 2\)[/tex]

B. [tex]\(s = \frac{4}{t + 2}\)[/tex]

C. [tex]\(s = \frac{t + 2}{4}\)[/tex]

D. [tex]\(s = t + 6\)[/tex]

Sagot :

GinnyAnswer
Let's carefully analyze the given equation and transform it step by step to find an equivalent equation.

The given equation is:
[tex]\[ 4s = t + 2 \][/tex]

We want to isolate the variable [tex]\( s \)[/tex] on one side of the equation. To do that, we need to get rid of the coefficient 4 that is multiplying [tex]\( s \)[/tex]. We can do this by dividing both sides of the equation by 4.

Here's the step-by-step process:

1. Start with the given equation:
[tex]\[ 4s = t + 2 \][/tex]

2. Divide both sides of the equation by 4 to isolate [tex]\( s \)[/tex]:
[tex]\[ s = \frac{t + 2}{4} \][/tex]

So, the equation equivalent to [tex]\( 4s = t + 2 \)[/tex] is:
[tex]\[ s = \frac{t + 2}{4} \][/tex]

Therefore, among the given options, the correct equivalent equation is:
[tex]\[ s = \frac{t + 2}{4} \][/tex]

Option:
[tex]\[ s = \frac{t+2}{4} \][/tex]
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