Question

Question #e5ffd

Answer 1

The equation is very much linear.

Explanation:

Linear equations are defined by the fact that the variables do not appear various in powers greater than 1 or that there are no terms containing products of variables (cross terms).

Thus, in the equation `-12x - 11y = 14`, the variables `x` and `y` appear in their first power and not in powers higher than 1.
Therefore, the equation is linear.

Consider the equations,

`x^2 + 2y = 0` and `x + 2xy + y = 0`

None of these are linear : In the first one, `x` appears in the second power and in the second one, we have a term `xy` which ensures that linearity condition is not satisfied.

Answer 2

The equation is very much linear.

Explanation:

Linear equations are defined by the fact that the variables do not appear various in powers greater than 1 or that there are no terms containing products of variables (cross terms).

Thus, in the equation `-12x - 11y = 14`, the variables `x` and `y` appear in their first power and not in powers higher than 1.
Therefore, the equation is linear.

Consider the equations,

`x^2 + 2y = 0` and `x + 2xy + y = 0`

None of these are linear : In the first one, `x` appears in the second power and in the second one, we have a term `xy` which ensures that linearity condition is not satisfied.