Find the point (x₁,x₂) that lies on the line x₁ + 3x₂ = 10 and on the line x₁ - x₂ = -2. See the figure. X2 K The point (x₁,x₂) that lies on the line x₁ + 3x2 = 10 and on the line x₁ - x₂ = − 2 is |(1,3) (Simplify your answer. Type an ordered pair.) -X1

Algebra and Trigonometry (6th Edition)
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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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**Problem:**
Find the point \((x_1, x_2)\) that lies on the line \(x_1 + 3x_2 = 10\) and on the line \(x_1 - x_2 = -2\). See the figure.

**Solution:**

The figure shows two lines on a Cartesian plane: 
- The first line is \(x_1 + 3x_2 = 10\).
- The second line is \(x_1 - x_2 = -2\).

The intersection point of these lines represents the solution to the system of equations. 

The point \((x_1, x_2)\) that lies on the line \(x_1 + 3x_2 = 10\) and on the line \(x_1 - x_2 = -2\) is \(\boxed{(1, 3)}\).

(Simplify your answer. Type an ordered pair.)
Transcribed Image Text:**Problem:** Find the point \((x_1, x_2)\) that lies on the line \(x_1 + 3x_2 = 10\) and on the line \(x_1 - x_2 = -2\). See the figure. **Solution:** The figure shows two lines on a Cartesian plane: - The first line is \(x_1 + 3x_2 = 10\). - The second line is \(x_1 - x_2 = -2\). The intersection point of these lines represents the solution to the system of equations. The point \((x_1, x_2)\) that lies on the line \(x_1 + 3x_2 = 10\) and on the line \(x_1 - x_2 = -2\) is \(\boxed{(1, 3)}\). (Simplify your answer. Type an ordered pair.)
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