What is the solution for this system of equations? Y=x-4. Y=-x+6

Answer: x = 5, y = 1

Step-by-step explanation:

y = x - 4 ... equation 1

y = - x + 6 ... equation 2

Equating the two equations, we have

x - 4 = - x + 6

x + x = 6 + 4

2x = 10

x = 5

substitute x = 5 into equation 1

y = 5 - 4

y = 1

Therefore, the solution to the system of equations is (5, 1)