1. **Stating the problem:** We are given the weights of Cindi, Dania, and Eva with the following conditions: - The sum of Cindi's and Dania's weights is 78 kg. - The sum of Dania's and Eva's weights is 82 kg. - Three times Eva's weight minus Cindi's weight is 88 kg. We denote Cindi's weight as $x$, Dania's weight as $y$, and Eva's weight as $z$. We need to find the system of linear equations (SPLTV) that represents these conditions. 2. **Formulating the equations:** - From "Jumlah berat badan Cindi dan Dania 78 kg": $$x + y = 78$$ - From "Jumlah berat badan Dania dan Eva 82 kg": $$y + z = 82$$ - From "Tiga kali berat badan Eva dikurangi berat badan Cindi 88 kg": $$3z - x = 88$$ 3. **Writing the system:** $$\begin{cases} x + y = 78 \\ y + z = 82 \\ - x + 3z = 88 \end{cases}$$ 4. **Explanation:** - The first equation sums $x$ and $y$. - The second sums $y$ and $z$. - The third rearranges "three times Eva minus Cindi" as $3z - x$. 5. **Matching with options:** Option B matches exactly: $$\{\begin{cases} x + y = 78 \\ y + z = 82 \\ -x + 3z = 88 \end{cases}\}$$ **Final answer:** Option B.