Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:### Solving Systems of Equations
1) Solve the system of equations and check your solutions.
#### a.
- \(5x + 4y = 1\)
- \(3x - 6y = 2\)
#### b.
- \(x^2 + y^2 = 13\)
- \(y - x = 1\)
---
**Explanation:**
For these systems of equations:
- **Part (a):** Two linear equations in terms of \(x\) and \(y\). Solve using either substitution, elimination, or matrix methods to find the intersection point.
- **Part (b):** One equation is a circle (\(x^2 + y^2 = 13\)), and the other is a line (\(y - x = 1\)). Solve these to find the points where the line intersects the circle.
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