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Solve for [tex]\( x \)[/tex] in the equation [tex]\(\frac{x}{4} - \frac{8}{6} = 0\)[/tex]. Round your answer to 2 decimal places.

Sagot :

GinnyAnswer
Sure, let's solve the equation [tex]\(\frac{x}{4} - \frac{8}{6} = 0\)[/tex] step-by-step and round the final answer to 2 decimal places.

1. Simplify [tex]\(\frac{8}{6}\)[/tex]:
[tex]\[ \frac{8}{6} = 1.3333333333333333 \][/tex]

2. Rewrite the equation:
[tex]\[ \frac{x}{4} - 1.3333333333333333 = 0 \][/tex]

3. Isolate [tex]\(\frac{x}{4}\)[/tex]:
[tex]\[ \frac{x}{4} = 1.3333333333333333 \][/tex]

4. Solve for [tex]\(x\)[/tex] by multiplying both sides by 4:
[tex]\[ x = 1.3333333333333333 \times 4 = 5.333333333333333 \][/tex]

5. Round the result to 2 decimal places:
[tex]\[ x = 5.33 \][/tex]

So, the value of [tex]\(x\)[/tex] is [tex]\(5.33\)[/tex] when rounded to 2 decimal places.
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