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To solve this system of equations, we first need to substitute the expression for Y from the first equation into the second equation:
2X + Y = 15
2X + (-X + 5) = 15
2X - X + 5 = 15
X + 5 = 15
X = 10
Now that we have found the value of X, we can substitute it back into the first equation to find the value of Y:
Y = -X + 5
Y = -(10) + 5
Y = -10 + 5
Y = -5
Therefore, the coordinates of the intersection point that solves the system of equations are (10, -5).