Answer: D. (2, 7)
Explanation:
This is a system of equations, so we can solve a few different ways. The first way is to solve by graphing. We will graph both of the given equations, the point of intersection is the solution. I have attached this below. This point is option D, (2, 7).
Another method is to use the substitution method. We will solve one equation for a variable and then substitute it into the second.
5x - y = 3 ➜ y = 5x - 3
-5x + 2y = 4
-5x + 2(5x - 3) = 4
-5x + 10x - 6 = 4
5x - 6 = 4
5x = 10
x = 2
This leads us to answer option D, (2, 7).