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Describe when you would need to solve a system of linear equations, instead of a single linear equation

User Null Set
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Answer:

See explanation below

Explanation:

A system of linear equations is a system that is formed when you have two or more variables, for example:


x=2y+z\\3y-4x=7y+2z\\2y+z=4x+3y

In this case, we have 3 equations with 3 variables in total (x, y and z). Thus, we would need to solve a system of linear equations (they are linear because none of the variables have exponents).

On the other side, a single linear equation has only one variable that we need to find, for example:


3x=(5)/(3)

In this case we would just have to solve for x


3x=(5)/(3) \\9x=5\\x=(5)/(9)

Thus, we need to solve a system of linear equations when we have more than one variable (and more than one equations) as opposed to when we have just one variable and a single equation (single linear equation)

User Terje Mikal
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