Find the coordinates of the point of intersection of the lines y = -x and y = 2x-3

In order to find the points of intersection of the straight lines given by the equations y = – x and y = 2x – 3, you need to solve the system of equations, which will consist of these equations.
So, let’s write the system
y = – x;
y = 2x – 3.
In the first and second equations of the system, we have expressed the variable y through x.
We will solve the system by the substitution method. In the second equation, instead of y, substitute – x and solve the resulting equation for the variable x:
y = – x;
– x = 2x – 3.
We solve the second equation of the system:
– x – 2x = – 3;
– 3x = – 3;
x = 1.
Now let’s return to the first equation of the system and find y:
System
y = – 1;
x = 1.
Answer: The point of intersection of the lines has coordinates (1; -1).