Example Question - one variable
Here are examples of questions we've helped users solve.
Solving Linear Equation with One Variable
Claro, podemos resolver esta ecuación paso a paso. La ecuación es \(2x - 1 = 6x + 8\). Primero, queremos obtener todos los términos con \(x\) en un lado de la ecuación y los términos constantes en el otro. Para hacer esto, restaremos \(2x\) de ambos lados de la ecuación y restaremos \(8\) de ambos lados también. Esto nos dará: \(2x - 1 - 2x = 6x + 8 - 2x\) \(-1 = 4x + 8\) Y luego: \(-1 - 8 = 4x + 8 - 8\) \(-9 = 4x\) Ahora, dividimos ambos lados por 4 para despejar \(x\): \(\frac{-9}{4} = \frac{4x}{4}\) \(-\frac{9}{4} = x\) Por lo tanto, la solución para \(x\) es \(-\frac{9}{4}\) o \(-2.25\).
Solving an Equation with One Variable
Để tìm giá trị của x, bạn sẽ cần giải phương trình \( x \times 5,6 = 19,04 \). Bước 1: Phân chia cả hai phía của phương trình cho 5,6 để tách x ra một mình. \[ x = \frac{19,04}{5,6} \] Bước 2: Tính toán phép chia. \[ x = \frac{19,04}{5,6} = 3,4 \] Vậy giá trị của x là 3,4.
Solving a Linear Equation with One Variable
The image shows two systems of equations. The first one is a two-variable linear system, and the y-terms have been eliminated, resulting in a single linear equation -14x = 7. To find the value of x, we need to solve the equation -14x = 7. We do so by isolating x: -14x = 7 x = 7 / (-14) x = -1/2 Thus, the value of x is -1/2, which corresponds to option A: -1/2.
Solving an Equation with One Variable
لحل المعادلة الموجودة في الصورة، نحتاج إلى إيجاد قيمة المتغير \( u \) الذي يجعل المعادلة صحيحة. المعادلة المعطاة: \[ \frac{14}{u} = \frac{2}{3} \] لحل هذه المعادلة وإيجاد قيمة \( u \)، نتبع الخطوات التالية: 1. نضرب كلا الطرفين في \( u \) للتخلص من المقام. \[ u \times \frac{14}{u} = \frac{2}{3} \times u \] \[ 14 = \frac{2}{3} \times u \] 2. الآن نضرب كلا الطرفين في 3 للتخلص من الكسر. \[ 3 \times 14 = 2 \times u \] \[ 42 = 2u \] 3. نقسم الطرفين على 2 لإيجاد قيمة \( u \). \[ \frac{42}{2} = \frac{2u}{2} \] \[ 21 = u \] إذًا، قيمة \( u \) هي 21.
Solving a Linear Equation with One Variable
The equation in the image is "2x + 5x + 7 = 0". To solve it, you should first combine the like terms (the terms with x). When you do that: 2x + 5x = 7x So, the equation then becomes: 7x + 7 = 0 Now, to find the value of x, you will move the constant term (7) to the other side of the equation by subtracting it from both sides: 7x = -7 Next, divide both sides of the equation by 7 to isolate x: x = -7 / 7 This simplifies to: x = -1 So the solution to the equation is x = -1.
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