Solve each of the following systems by graphing and determine the solution/s: 1. 4. Зх — у %3D 2 x + 2y = 10 (4, 1) x = 2, y = 4 kキ4 Зх - 2у — 12 Intersection at one point only exactly one solution 7x + 2y = 8 2. x = 2, y -3 6. m + 2n = 4 2m + 4n = -8 No solution (parallel lines) 7. 3u + 5v = 15 Lines are parallel (each has slope -no solutions 6u + 10v = -30 3. No solution (parallel lines) 5.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3AEXP
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do 1 and 7

Solve each of the following systems by graphing and
determine the solution/s:
1.
4.
Зх — у 3D 2
x + 2y = 10
(4. 1)
x = 2, y = 4
5.
Зх - 2у — 12
Intersection at one point
only-exactly one solution
7x + 2y = 8
2.
x = 2, y = -3
6.
т + 2n — 4
2m + 4n = -8
No solution (parallel lines)
7.
Зи + 5v 3 15
Lines are parallel (each
has slope - no solutions
би + 10v — —30
3.
No solution (parallel lines)
5.
Lines coincide-Infinite
number of solutions
Transcribed Image Text:Solve each of the following systems by graphing and determine the solution/s: 1. 4. Зх — у 3D 2 x + 2y = 10 (4. 1) x = 2, y = 4 5. Зх - 2у — 12 Intersection at one point only-exactly one solution 7x + 2y = 8 2. x = 2, y = -3 6. т + 2n — 4 2m + 4n = -8 No solution (parallel lines) 7. Зи + 5v 3 15 Lines are parallel (each has slope - no solutions би + 10v — —30 3. No solution (parallel lines) 5. Lines coincide-Infinite number of solutions
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