Alright, lets get started.
Two lines are given.
![x - y = 0](https://img.qammunity.org/2019/formulas/mathematics/middle-school/f7gm2k6xlbca1vcg5dzgzjaxi9cx1a5pk8.png)
and
![6x + 5y = -22](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wyw95mjnx398k97597bic3g70ks3h2apm8.png)
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](https://img.qammunity.org/2019/formulas/mathematics/middle-school/f7gm2k6xlbca1vcg5dzgzjaxi9cx1a5pk8.png)
Adding y in both sides
![x - y + y = 0 + y](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jgqixw8d7j6xj68jznxemywcisnl64l89f.png)
x = y
We could put this value in second equation
![6x + 5 y = -22](https://img.qammunity.org/2019/formulas/mathematics/middle-school/srm6r76nmmn9re08j1jx55phqro52cxv3l.png)
![6x + 5 x = -22](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uz0wcvd1318c7jveg5d5tr82ws8f6nj8ia.png)
![11x = -22](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2rp7zjtxqpgoj4vf4ooe5v6c3tcbyy7g4v.png)
Dividing 11 in both sides
![(11x)/(11) = -(22)/(11)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kqf05fmas02s1084njtf1zp6v9zb7gv7s3.png)
x = -2
So,
y = x means
y = -2
(x,y) = (-2,-2) : Answer
Hope it will help :)