Infinitely many.
The solution is a pair of numbers ... one number for 'x' and one number for 'y' ...
that makes the statement [ x = -5y + 5 ] a true statement.
There are an infinite number of those pairs.
The graph if this equation is a straight line, and every point on the line is a solution to the equation.
Here are a few of them:
. Y . . . X .
-3 . . . . 20
-2 . . . . 15
-1.27 . . 11.35
-1 . . . . 10
0 .. . . . . 5
1 .. . . . . 0
2 . . . . . -5
3 .. . . . -10
4 .. . . . -15
4.73 . . -18.65
many solutions
There are 120 solutions.
1
1 solution
many solutions
2
Two solutions and they are:- x = 0 and y = 3
It has two equal solutions of 2
One solution.
zero solutions. If you plot these two lines, you will see that they are parallel and do not intersect.
Only 1.
Just the one solution.