Question $\left[{ }^{x}\right]$ Rewrite the following equatic $y+10=\frac{1}{7}(x+7)$

Studdy Solution

STEP 1

1. We are given an equation and need to rewrite it in a different form.
2. The goal is to express $y$ in terms of $x$ .

STEP 2

1. Distribute the fraction on the right side of the equation.
2. Isolate $y$ by performing algebraic operations.

STEP 3

Distribute the $\frac{1}{7}$ across the terms inside the parentheses on the right side of the equation:
$y + 10 = \frac{1}{7} \cdot (x + 7)$
$y + 10 = \frac{1}{7} \cdot x + \frac{1}{7} \cdot 7$
$y + 10 = \frac{1}{7}x + 1$

STEP 4

Isolate $y$ by subtracting 10 from both sides of the equation:
$y + 10 - 10 = \frac{1}{7}x + 1 - 10$
$y = \frac{1}{7}x - 9$
The rewritten equation is:
$y = \frac{1}{7}x - 9$

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