Answer:
(5,1)
Step-by-step explanation:
Given :
[tex]y=x-4\\y=-x+6[/tex]
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
⇒[tex]x-4 = -x+6[/tex]
⇒[tex]x+x= 6+4[/tex]
⇒[tex]2x=10[/tex]
⇒[tex]x=\frac{10}{2}[/tex]
⇒[tex]x=5[/tex]
Now substituting value of x in equation 1 to get value of y
⇒[tex] y=x-4[/tex]
⇒[tex] y=5-4[/tex]
⇒[tex] y=1[/tex]
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.
