Use your calculator to solve the equation. Input your answer rounded off to two decimal places. 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 Answer: N age gout) 270

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Solving Linear Equations with a Calculator

#### Instructions:
Use your calculator to solve the given equation. Round your answer to two decimal places.

#### Given Equation:
\[ 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 \]

#### Solution:
1. **Distribute the constants within the parentheses:**
   \[ 1.23x - 2.13x - 2.13 \times 3.24 = 2.16x + 3.25 \]

2. **Calculate the product:**
   \[ 2.13 \times 3.24 = 6.9012 \]
   \[ 1.23x - 2.13x - 6.9012 = 2.16x + 3.25 \]

3. **Combine like terms:**
   \[ -0.9x - 6.9012 = 2.16x + 3.25 \]

4. **Isolate the variable on one side:**
   \[ -6.9012 - 3.25 = 2.16x + 0.9x \]
   \[ -10.1512 = 3.06x \]

5. **Solve for \( x \):**
   \[ x = \frac{-10.1512}{3.06} \]
   \[ x \approx -3.32 \]

### Answer:
\[ \boxed{-3.32} \]
Transcribed Image Text:### Solving Linear Equations with a Calculator #### Instructions: Use your calculator to solve the given equation. Round your answer to two decimal places. #### Given Equation: \[ 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 \] #### Solution: 1. **Distribute the constants within the parentheses:** \[ 1.23x - 2.13x - 2.13 \times 3.24 = 2.16x + 3.25 \] 2. **Calculate the product:** \[ 2.13 \times 3.24 = 6.9012 \] \[ 1.23x - 2.13x - 6.9012 = 2.16x + 3.25 \] 3. **Combine like terms:** \[ -0.9x - 6.9012 = 2.16x + 3.25 \] 4. **Isolate the variable on one side:** \[ -6.9012 - 3.25 = 2.16x + 0.9x \] \[ -10.1512 = 3.06x \] 5. **Solve for \( x \):** \[ x = \frac{-10.1512}{3.06} \] \[ x \approx -3.32 \] ### Answer: \[ \boxed{-3.32} \]
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