Questions: 26-12x+20=20w+c

Transcript text: $26-12 x+20=20 w+c$

Solution

Solution Steps

To solve the given equations, we will isolate the variables on one side of the equation to find their values. For each equation, we will rearrange terms and simplify to solve for the unknowns.

Step 1: Solve Equation $ c $

We start with the equation:

\[ 46 - 12x = c + 20w \]

Rearranging gives us:

\[ c = 46 - 12x - 20w \]

From the output, we can express $ x $ in terms of $ c $ and $ w $:

\[ x = -\frac{c}{12} - \frac{5w}{3} + \frac{23}{6} \]

Step 2: Solve Equation 1

Next, we consider the equation:

\[ e - 9x - 22 = 0 \]

Rearranging gives us:

\[ e = 9x + 22 \]

From the output, we can express $ x $ in terms of $ e $:

\[ x = \frac{e}{9} - \frac{22}{9} \]

Final Answer

The solutions for the variables are:

For $ c $: \[ c = 46 - 12\left(-\frac{c}{12} - \frac{5w}{3} + \frac{23}{6}\right) - 20w \]
For $ e $: \[ e = 9\left(\frac{e}{9} - \frac{22}{9}\right) + 22 \]

Thus, the boxed final answers are:

\[ \boxed{x = -\frac{c}{12} - \frac{5w}{3} + \frac{23}{6}} \] \[ \boxed{e = 9x + 22} \]

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