If we double each side of the second equation, 2x+y=8, we have 4x+2y=16. Explain why the same (x,y) pair that is the solution to the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You may use a four-function or scientific calculator, but not a graphing calculator.

The system of equations has exactly one (x,y) pair for its solution

 

If we double each side of the second equation, 2x+y=8, we have 4x+2y=16. Explain why the same (x,y) pair that is the solution to the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.

 

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