If b does not equal 0, can the solution set of ax = b be a plane through the origin?

If b does not equal 0​, can the solution set of ax = b be a plane through the​ origin

A plane pass through the origin mean it passes (0,0)

When we plug in 0 for x  then ax=b becomes

a(0) = 0 , when x = 0 then b not equal to 0 is a contradiction .

So , it is not possible if b does not equal 0​, can the solution set of ax = b be a plane through the​ origin.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.