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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q 450 (page 738)

In the following exercise solve $\frac{t - 3}{5} = \frac{t + 2}{9}$

Short Answer

Expert verified

The solution is $t = \frac{37}{4}$

Step by step solution

01

Step 1. Given information

$\frac{t - 3}{5} = \frac{t + 2}{9}$

02

Step 2. solve

Multiply both sides by LCD.

$(5 \cdot 9) (\frac{t - 3}{5}) = (5 \cdot 9) (\frac{t + 2}{9}) 9 (t - 3) = 5 (t + 2) 9 t - 27 = 5 t + 10 4 t - 37 = 0 t = \frac{37}{4}$

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