Question

X - y = 0 6x + 5y = -22 The lines intersect at (2, 2) (2, -2) (-2, -2)

Answer 1

Alright, lets get started.

Two lines are given.

$x - y = 0$

and

$6x + 5y = -22$

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,

$x - y = 0$

Adding y in both sides

$x - y + y = 0 + y$

x = y

We could put this value in second equation

$6x + 5 y = -22$

$6x + 5 x = -22$

$11x = -22$

Dividing 11 in both sides

$\frac{11x}{11} = -\frac{22}{11}$

x = -2

So,

y = x means

y = -2

(x,y) = (-2,-2) : Answer

Hope it will help :)