x to the third power +y =8 is that a linear or not a linear

Question

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Answer 1

The equation \( x^3 + y = 8 \) is not a linear equation.

A linear equation can be expressed in the form \( ax + by = c \), where \( a \), \( b \), and \( c \) are constants, and the variables \( x \) and \( y \) are at most to the first power (no exponents higher than one).

In your equation, \( x \) is raised to the third power, which means it is a nonlinear equation.