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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q 445 (page 737)

In the following exercise solve for indicated variable, $x = \frac{y + 5}{z - 7}$ for $z$

Short Answer

Expert verified

The solution is $z = \frac{y + 5 + 7 x}{x}$

Step by step solution

Step 1. Given Information

$x = \frac{y + 5}{z - 7}$

Step 2. Solve for z

Clear the fraction by multiplying both sides of the equation by the LCD $(z - 7)$

$(z - 7) x = (z - 7) (\frac{y + 5}{z - 7}) x z - 7 x = y + 5 x z = y + 5 + 7 x z = \frac{y + 5 + 7 x}{x}$

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In the following exercise solve for indicated variable,x=y+5z-7forz

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solve for z

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In the following exercise solve for indicated variable, $x = \frac{y + 5}{z - 7}$ for $z$