Solving a Linear Equation

MathematicsLinear EquationsEasy

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6. $\frac{2x + 4}{7} - \frac{6 - 2x}{4} = 1$

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1
Step 1

İbrahim, merhaba. Hadi bu rasyonel denklemi adım adım birlikte çözelim.

Denklem Çözümü

2
Step 2

İlk olarak, yedi ve dört paydalarını yirmi sekiz sayısında eşitleyelim.

$$\frac{2x+4}{7} - \frac{6-2x}{4} = 1$$
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Step 3

Tüm terimleri yirmi sekiz ile çarparak kesirlerden kurtulalım.

$$28 \cdot \left( \frac{2x+4}{7} \right) - 28 \cdot \left( \frac{6-2x}{4} \right) = 28 \cdot 1$$
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Step 4

Sadeleştirme işlemini yaptığımızda, dört çarpı iki x artı dört eksi yedi çarpı altı eksi iki x eşittir yirmi sekiz elde ederiz.

$$4(2x+4) - 7(6-2x) = 28$$
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Step 5

Parantezleri dağıtalım. Lütfen eksi yedi ile eksi iki x çarpımının artı on dört x olacağına dikkat et.

$$8x + 16 - 42 + 14x = 28$$

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About This Question

Subject
Mathematics
Topic
Linear Equations
Difficulty
Easy
Question Type
Open Ended

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