Question

For which value(s) of the constant k Will the system be consistent?: 4x+4y=k x+y=2

Answer 1

if `k/4ne 2` so we get no solutions, if `k=8` so we get
`x;2-x` as the searched solutions.

Explanation:

Writing your system in the form
`x+y=k/4`
`x+y=2`
so we get the statement above.