Answer:Infinitely ManyStep-by-step explanation:Equations: y = 5 - 2x4x + 2y = 10There are multiple ways to solve this, but I'm going to use substitution. Since y = 5 - 2x, I will input this y value into the second equation.4x + 2(5 - 2x) = 10From here, it's simple algebra.4x + 10 - 4x = 10 - 10 - 10 4x - 4x = 0 0x = 0 Because we essentially have the solution 0 = 0, this means that the system has an infinite amount of solutions.Why? Well, they're the same line. (Put both into slope intercept form.)y = 5 - 2x OR y = -2x + 54x + 2y = 102y = -4x +10= y = -2x + 5