# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-10/20

Exercises: Try Out - Set 10: Real exam simulation to sharpen your skills and build confidence. - Relationship between x and y

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## Exercise 20

### Question

export const metadata = {
  title: "Relationship between x and y",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

The relationship between the values of <InlineMath math="x" /> and <InlineMath math="y" /> from the following equations is...

<MathContainer>
  <BlockMath math="4x - 16 = 24" />
  <BlockMath math="2x + y - 16 = 12" />
</MathContainer>


### Choices

- [ ] $$x < y$$
- [x] $$x > y$$
- [ ] $$x = y$$
- [ ] $$x = -y$$
- [ ] $$x + y = 1$$

### Answer & Explanation

export const metadata = {
  title: "x and y Value Explanation",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

First, we find the value of <InlineMath math="x" /> from the first equation:

<MathContainer>
  <BlockMath math="4x - 16 = 24" />
  <BlockMath math="4x = 24 + 16" />
  <BlockMath math="4x = 40" />
  <BlockMath math="x = \frac{40}{4} = 10" />
</MathContainer>

After finding that <InlineMath math="x = 10" />, we substitute it into the second equation to find the value of <InlineMath math="y" />:

<MathContainer>
  <BlockMath math="2x + y - 16 = 12" />
  <BlockMath math="2(10) + y - 16 = 12" />
  <BlockMath math="20 + y - 16 = 12" />
  <BlockMath math="y + 4 = 12" />
  <BlockMath math="y = 12 - 4" />
  <BlockMath math="y = 8" />
</MathContainer>

Finally, we compare the values of <InlineMath math="x" /> and <InlineMath math="y" />:

<MathContainer>
  <BlockMath math="x = 10" />
  <BlockMath math="y = 8" />
</MathContainer>

Since <InlineMath math="10 > 8" />, then:

<MathContainer>
  <BlockMath math="x > y" />
</MathContainer>


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