QuestionSolve for $x$ . $y=(7+x) m$

Studdy Solution

STEP 1

1. The equation $y = (7 + x)m$ is a linear equation in terms of $x$ .
2. We are solving for $x$ in terms of $y$ and $m$ .
3. The variable $m$ is not equal to zero, as division by zero is undefined.

STEP 2

1. Isolate the term containing $x$ .
2. Solve for $x$ by performing algebraic operations.

STEP 3

Start with the given equation:
$y = (7 + x)m$
To isolate the term containing $x$ , divide both sides of the equation by $m$ :
$\frac{y}{m} = 7 + x$

STEP 4

Now, solve for $x$ by subtracting 7 from both sides:
$\frac{y}{m} - 7 = x$
Rearrange to express $x$ explicitly:
$x = \frac{y}{m} - 7$
The solution for $x$ is:
$\boxed{\frac{y}{m} - 7}$

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