What Does 'Simultaneous' Mean in Linear Equations?

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SUMMARY

The term 'simultaneous' in simultaneous linear equations refers to the requirement that multiple equations must be satisfied by the same set of variable values. In the example provided, the equations 2x + y = 4 and x - 2y = -3 must both hold true for the same values of x and y. This concept is foundational in linear algebra, as it emphasizes the interconnectedness of the equations involved.

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The term simultaneous in simultaneous linear equations does not make sense to me? Would you explain the what simultaneous mean there?

Example: "We have all solved simultaneous linear equations - for example,

2x + y = 4
x - 2y = -3 "

Source: Linear Algebra by Fraleigh/Beauregard.

Thank you.
 
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mech-eng said:
The term simultaneous in simultaneous linear equations does not make sense to me? Would you explain the what simultaneous mean there?

Example: "We have all solved simultaneous linear equations - for example,

2x + y = 4
x - 2y = -3 "

Source: Linear Algebra by Fraleigh/Beauregard.

Thank you.

It means more than one equation that must be satisfied by the same solution: in this case, the same values of ##x## and ##y## must satisfy both equations.

http://www.mathcentre.ac.uk/resources/Engineering maths first aid kit/latexsource and diagrams/2_13.pdf
 

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