Answer:
(5,1)
Explanation:
Given :

Solution :
Equation 1 : y=x-4
Equation 2 : y = -x+6
We will use substitution method
Putting the value of y from equation 1 in equation 2
⇒

⇒

⇒

⇒

⇒

Now substituting value of x in equation 1 to get value of y
⇒

⇒

⇒

Thus the solution of given system of equations is (5,1)
We have also solved it by graphing the equations
You can refer the attached figure.