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DIKKAT 14. \( 3 x+2 y-(2 y-x)=20 \) olduğuna göre, \( x \) kaçtır? A) 1 B) 2 C) 3 D) 4 E) 5

Ask by Moran Delgado. in Turkey
Feb 10,2025

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\( x = 5 \), seçenek E'dir.

Solución

Verilen denklem: 3x + 2y - (2y - x) = 20 Adım 1: Parantez içindeki ifadeyi açalım:   3x + 2y - 2y + x = 20 Adım 2: Benzer terimleri toplayalım:   3x + x + (2y - 2y) = 20   4x = 20 Adım 3: x’i bulmak için her iki tarafı 4'e bölelim:   x = 20 / 4   x = 5 Sonuç olarak, x = 5 olduğundan doğru seçenek E şıkkıdır.

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Öncelikle denklemi sadeleştirelim: \( 3x + 2y - (2y - x) = 20 \). Parantezi açtığımızda, \( 3x + 2y - 2y + x = 20 \) elde ederiz. Buradan, \( 3x + x = 20 \) olur ve \( 4x = 20 \). Her iki tarafı 4'e bölersek, \( x = 5 \) bulunur. Doğru cevap E) 5'tir. Matematikte dikkat etmemiz gerekenlerden biri, işlem sırasını doğru takip etmektir. Parantezler, çarpma ve bölme işlemleri gibi kuvvetli işlemler her zaman en önce yapılmalıdır. Yanlış işlem sırası, yanlış sonuçlara yol açabilir. Ayrıca, denklemlerle çalışırken, her iki tarafı aynı sayıda işlem uygulamak da önemlidir.

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