Respuesta :
Alright, lets get started.
Two lines are given.
[tex] x - y = 0 [/tex]
and
[tex] 6x + 5y = -22 [/tex]
If we need to find the intersection point of these two lines, we must solve these two equations and find (x,y) values.
From the first equation,
[tex] x - y = 0 [/tex]
Adding y in both sides
[tex] x - y + y = 0 + y [/tex]
x = y
We could put this value in second equation
[tex] 6x + 5 y = -22 [/tex]
[tex] 6x + 5 x = -22 [/tex]
[tex] 11x = -22 [/tex]
Dividing 11 in both sides
[tex] \frac{11x}{11} = -\frac{22}{11} [/tex]
x = -2
So,
y = x means
y = -2
(x,y) = (-2,-2) : Answer
Hope it will help :)
