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2. solve each equation for y. (2 points each) $\frac{2}{7}x + y = 4$ $2…

Question

  1. solve each equation for y. (2 points each)

$\frac{2}{7}x + y = 4$
$24 = 6x + 3y$

Explanation:

Step1: Isolate y in the first - equation

Subtract $\frac{2}{7}x$ from both sides of $\frac{2}{7}x + y=4$.
$y = 4-\frac{2}{7}x$

Step2: Isolate y in the second - equation

First, subtract $6x$ from both sides of $24 = 6x+3y$.
$3y=24 - 6x$
Then divide both sides by 3.
$y=\frac{24 - 6x}{3}=8 - 2x$

Answer:

For $\frac{2}{7}x + y = 4$, $y = 4-\frac{2}{7}x$; for $24 = 6x + 3y$, $y=8 - 2x$