Question

How do you solve `3x+y<=6`?

Answer 1

Please see the explanation below.

Explanation:

Solving linear inequalities in `2` variables is done graphically.

Any point lying in the shaded area, will comply to the inequality.

Take, for example, the point `(-5,2)` which is in the shaded area

Then,

`3x+y=3*-5+2=-13`

And this is `<=6`

Take, for example, the point `(5,5)` which is outside the shaded area

Then,

`3x+y=3*5+5=25`

And

This does not comply to the conditions

`3x+y<=6`

graph{3x+y-6<=0 [-16.02, 16.01, -8.01, 8.01]}