Answer:
(1) y=C,
(2) x=C
(1) y=0
Step-by-step explanation:
For the linear equation, the power on the solitary variable must be 1.
When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.
When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.
(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant, , has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.
Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.
(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.
The solution for the equation is
x-C=0
, where
.
(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.
Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.