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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 192 (page 144)

Solve for the formula for y:
$5 x + 2 y = 10$

Short Answer

Expert verified

The solution is $y = \frac{10 - 5 x}{2}$ .

Step by step solution

01

Given information:

Consider the equation,

$5 x + 2 y = 10$

02

Step 2:

Add $(- 5 x)$ on both sides,

$5 x + 2 y - 5 x = 10 - 5 x$

03

Step 3:

On simplifying, we get,

$2 y = 10 - 5 x$

04

Step 4:

Divide by 2 on both sides, to make the coefficient of y as one,

$\frac{2 y}{2} = \frac{10 - 5 x}{2}$

we get,

$y = \frac{10 - 5 x}{2}$

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