How do you decide which variable to solve first when you’re solving a linear system by substitution

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madelinelujano madelinelujano

22-05-2020
Mathematics

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How do you decide which variable to solve first when you’re solving a linear system by substitution

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rachelzee13ox9ev6 rachelzee13ox9ev6 · Answer 1 · 2020-05-22T06:38:06+02:00

Personally, it is whichever one I think will work nicer. I hate messing with fractions or decimals, so if I can keep them as whole numbers, I will. For example, which version would you rather substitute?

[tex]y = 3x + 5\\OR\\x = \frac{y}{3} -\frac{5}{3}[/tex]

These are the exact same thing, but it is almost always better to go with the first one. It's easier to manipulate and most people have an easier time working with whole numbers over fractions any day of the week.