## Intermediate Algebra (12th Edition)

Published by Pearson

# Chapter 1 - Section 1.1 - Linear Equations in One Variable - 1.1 Exercises: 67

x = 3

#### Work Step by Step

1. Given: $\frac{3x - 1}{4} + \frac{x + 3}{6}$= 3 2. Multiply by LCD (12): 12($\frac{3x - 1}{4} + \frac{x + 3}{6}$) = 3(12) 3. Use distributive property to multiply: 3(3x - 1) + 2(x + 3) = 36 9x - 3 + 2x + 6 = 36 4. Add and subtract: 11x = 33 5. Divide: x = 3 6. Check: $\frac{3*3 - 1}{4} + \frac{3 + 3}{6}$= 3 3 = 3, so 3 is a solution of the equation.

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