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Part B

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Rewrite the equation for [tex]\( x \)[/tex], and express its value in terms of [tex]\( a \)[/tex].

[tex]\[ \frac{3}{a} x - 4 = 20 \][/tex]

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GinnyAnswer
To solve the equation [tex]\(\frac{3}{a} x - 4 = 20\)[/tex] for [tex]\(x\)[/tex] and express its value in terms of [tex]\(a\)[/tex], follow these steps:

1. Add 4 to both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[ \frac{3}{a} x - 4 + 4 = 20 + 4 \][/tex]
Simplifying this, we get:
[tex]\[ \frac{3}{a} x = 24 \][/tex]

2. Multiply both sides of the equation by [tex]\(\frac{a}{3}\)[/tex] to solve for [tex]\(x\)[/tex]:
[tex]\[ x = 24 \cdot \frac{a}{3} \][/tex]

3. Simplify the expression:
[tex]\[ x = 8a \][/tex]

Thus, the value of [tex]\(x\)[/tex] in terms of [tex]\(a\)[/tex] is:
[tex]\[ x = 8a \][/tex]

Therefore, the correct answer is [tex]\(x = 8a\)[/tex].
X=8A
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