x-5=-y and 2y-10=-2x without graphing tell whether its no solution one solution or inf many

Question

x-5=-y

2y-10=-2x

Answer 1

The second equation can be divided through by 2: y-5=-x and rearranging the first equation we get y-5=-x, which is identical.
Therefore, there is only one equation and two variables, and there is no unique solution, implying an infinite number of solutions satisfying the single equation.