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Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.
by when you cancelled the variables and the two numbers left are equal. ex.5=5, is a many solution equation, in the other hand if is like this 6=5, is a no solution.
You cannot "solve" a single linear equation with two variables. Alternatively, you could argue that any one of the infinitely many points on the line represented by that equation is a solution.
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
Since there is only one linear equation in two unknown variables, it cannot be solved further. The coordinates of any of the infinitely many points on the line given by the equation: y = x - 7 are a solution.