Solve the equation for the requested variables. $$ x(c w+q)=v+f $$ Solve for $$ \mathrm{x}: x= $$ Solve for w: $$ w= $$ entry tip: if you have several parts to a numerator or denominator, put them in parenthesis. To enter $$ \frac{2 x}{a+b} $$ we type " $$ (2 x) /(a+b)^{-} $$

Question

UpStudy AI · Accepted Answer

Sure, let's solve the equation $$ x(cw + q) = v + f $$ for both $$ x $$ and $$ w $$.

### 1. Solving for $$ x $$:

Starting with the equation:
$$
x(cw + q) = v + f
$$

To isolate $$ x $$, divide both sides of the equation by $$ (cw + q) $$:
$$
x = \frac{v + f}{cw + q}
$$

**Solution for $$ x $$:**
$$
x = \frac{v + f}{c w + q}
$$

*Formatted for entry (using parentheses for the numerator and denominator):*
$$
x = \frac{(v + f)}{(c w + q)}
$$
You can enter this as: `x = (v+f)/(c w + q)`

---

### 2. Solving for $$ w $$:

Starting again with the original equation:
$$
x(cw + q) = v + f
$$

First, divide both sides by $$ x $$ to isolate $$ cw + q $$:
$$
cw + q = \frac{v + f}{x}
$$

Next, subtract $$ q $$ from both sides:
$$
cw = \frac{v + f}{x} - q
$$

Finally, divide both sides by $$ c $$ to solve for $$ w $$:
$$
w = \frac{\frac{v + f}{x} - q}{c}
$$

To simplify the expression, combine the terms over a common denominator:
$$
w = \frac{v + f - qx}{c x}
$$

**Solution for $$ w $$:**
$$
w = \frac{v + f - qx}{c x}
$$

*Formatted for entry (using parentheses for the numerator and denominator):*
$$
w = \frac{(v + f - q x)}{(c x)}
$$
You can enter this as: `w = (v+f - q x)/(c x)`

---

**Summary of Solutions:**

- **For $$ x $$:**
  $$
  x = \frac{v + f}{c w + q}
  $$
  Enter as: `x = (v+f)/(c w + q)`

- **For $$ w $$:**
  $$
  w = \frac{v + f - qx}{c x}
  $$
  Enter as: `w = (v+f - q x)/(c x)`

Feel free to use these expressions in your calculations or input fields as needed!
**Solutions:** - **For $$ x $$:** $$ x = \frac{v + f}{c w + q} $$ Enter as: `x = (v+f)/(c w + q)` - **For $$ w $$:** $$ w = \frac{v + f - q x}{c x} $$ Enter as: `w = (v+f - q x)/(c x)`

Solve the equation for the requested variables. \( x(c w+q)=v+f \) Solve for \( \mathrm{x}: x= \) Solve for w: \( w= \) entry tip: if you have several parts to a numerator or denominator, put them in parenthesis. To enter \( \frac{2 x}{a+b} \) we type " \( (2 x) /(a+b)^{-} \)

Solución de tutoría real

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions