Question

Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represented geometrically form parallel lines.

Answer 1

The family of lines that are parallel to
`2\cdot x + y = 6` is of the form
`2\cdot x + y = k, \,k\\eq 6`. A possible solution is
`2\cdot x + y = -2`.

Explanation:

Let be
`2\cdot x + y = 6` the equation of a line, another line is parallel to it if and only if it is of the form:

`2\cdot x + y = k, \,k\\eq 6` (1)

Then, a possible solution is
`2\cdot x + y = -2`.