a. Determine if the three lines have a common point of intersection. -4x1 + 5x2 = 27, 2x₁ - 3x₂ = −13, and -2x1 + 3x₂ = 13 Yes, they intersect b. Explain how you arrived at your response without actually having computed the answer or graphed the lines.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please explain this question 

a. Determine if the three lines have a common point of intersection.
and 2x₁+3x2 = 13
−4x₁ + 5x2 = 27, 2x₁ − 3x2 = −13, and
-
+
OF
Yes, they intersect
b. Explain how you arrived at your response without actually having computed the answer or
graphed the lines.
Edit Insert ▾
▼
Formats
= = = = ✓ ✓ C
▼
BIU X₂ X² A A
▼
<>
Σ+ Σ Α
Transcribed Image Text:a. Determine if the three lines have a common point of intersection. and 2x₁+3x2 = 13 −4x₁ + 5x2 = 27, 2x₁ − 3x2 = −13, and - + OF Yes, they intersect b. Explain how you arrived at your response without actually having computed the answer or graphed the lines. Edit Insert ▾ ▼ Formats = = = = ✓ ✓ C ▼ BIU X₂ X² A A ▼ <> Σ+ Σ Α
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