`x + y = 5` State whether each equation or function is linear. Write yes or no. If no, explain your resoning.

3 Answers

hkj1385's profile pic

hkj1385 | (Level 1) Assistant Educator

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Any function is called linear if the power of the unknown terms in the eqaution is 1.

Thus, the given equation x+y = 5 is linear because the power of the unknown terms x & y in the equation is 1.

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msubulldog | High School Teacher | (Level 1) Adjunct Educator

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Any linear equation is of the form "y = mx + b". By subtracting x from each side of the given equation, we get "y = -x + 5", satisfying what is required.

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Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

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Yes. This equation can be rewritten as y = 5 - x which clearly shows that y is the dependent variable and x is the independent variable.