Penjelasan dengan langkah-langkah:
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Untuk mencari nilai x dan y kita gunakan perkalian silang.
[tex]\displaystyle \bf \frac{2}{3} = \frac{6}{x} = \frac{y}{15}[/tex]
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→ Nilai x
[tex]\displaystyle \bf \frac{2}{3} = \frac{6}{x}[/tex]
[tex]\bf 2x = 3 \times 6[/tex]
[tex]\bf 2x = 18[/tex]
[tex]\bf x = 18 \div 2[/tex]
[tex]\bf x = 9[/tex]
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→ Nilai y
[tex]\displaystyle \bf \frac{2}{3} = \frac{y}{15}[/tex]
[tex]\bf 3y = 2 \times 15[/tex]
[tex]\bf 3y = 30[/tex]
[tex]\bf y = 30 \div 3[/tex]
[tex]\bf y = 10[/tex]
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→ Pembuktian
[tex]\displaystyle \bf \frac{2}{3} = \frac{6}{9} = \frac{10}{15}[/tex]
[tex]\displaystyle \bf \frac{2}{3} = \frac{2}{3} = \frac{2}{3}[/tex]
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→ Kesimpulan:
Nilai x dan y adalah:
- 9 dan 10 [Opsi C]