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Use your calculator to find the x-coordinate of the point of intersection of the two lines. Input your answer rounded off to two decimal places. 4 y = 1.6 (2x - 3.3) + 2.1x y = 3.1(x -2.4) + 1.6 Answer: Next page

Use your calculator to find the x-coordinate of the point of intersection of the two lines. Input your answer rounded off to two decimal places. 4 y = 1.6 (2x - 3.3) + 2.1x y = 3.1(x -2.4) + 1.6 Answer: Next page

Algebra and Trigonometry (6th Edition)
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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### Finding the Intersection of Two Lines Using a calculator, find the x-coordinate of the point of intersection of the two lines. Input your answer rounded off to two decimal places. Given equations: \[ y = 1.6(2x - 3.3) + 2.1x \] \[ y = 3.1(x - 2.4) + 1.6 \] **Answer:** [Text box for answer input] **Guide for Solving:** 1. **Expand both equations:** - For the first equation: \[ y = 1.6(2x - 3.3) + 2.1x \] \[ y = 3.2x - 5.28 + 2.1x \] \[ y = 5.3x - 5.28 \] - For the second equation: \[ y = 3.1(x - 2.4) + 1.6 \] \[ y = 3.1x - 7.44 + 1.6 \] \[ y = 3.1x - 5.84 \] 2. **Set the equations equal to each other to find the x-coordinate of the intersection:** \[ 5.3x - 5.28 = 3.1x - 5.84 \] 3. **Solve for x:** \[ 5.3x - 3.1x = -5.84 + 5.28 \] \[ 2.2x = -0.56 \] \[ x = -0.56 / 2.2 \] \[ x = -0.2545... \] 4. **Round off to two decimal places:** \[ x \approx -0.25 \] **Note:** Accurate use of a calculator is necessary to achieve precise results and rounding. Click "Next page" after submitting your answer to proceed.
Transcribed Image Text:### Finding the Intersection of Two Lines Using a calculator, find the x-coordinate of the point of intersection of the two lines. Input your answer rounded off to two decimal places. Given equations: \[ y = 1.6(2x - 3.3) + 2.1x \] \[ y = 3.1(x - 2.4) + 1.6 \] **Answer:** [Text box for answer input] **Guide for Solving:** 1. **Expand both equations:** - For the first equation: \[ y = 1.6(2x - 3.3) + 2.1x \] \[ y = 3.2x - 5.28 + 2.1x \] \[ y = 5.3x - 5.28 \] - For the second equation: \[ y = 3.1(x - 2.4) + 1.6 \] \[ y = 3.1x - 7.44 + 1.6 \] \[ y = 3.1x - 5.84 \] 2. **Set the equations equal to each other to find the x-coordinate of the intersection:** \[ 5.3x - 5.28 = 3.1x - 5.84 \] 3. **Solve for x:** \[ 5.3x - 3.1x = -5.84 + 5.28 \] \[ 2.2x = -0.56 \] \[ x = -0.56 / 2.2 \] \[ x = -0.2545... \] 4. **Round off to two decimal places:** \[ x \approx -0.25 \] **Note:** Accurate use of a calculator is necessary to achieve precise results and rounding. Click "Next page" after submitting your answer to proceed.
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