Specify the coordinates of the intersection of the lines y = 3x-6 and y = 2x-1.

In order to find the coordinates of the point of intersection of the lines y = 3x – 6 and y = 2x – 1, we must solve a system of these equations.

Let’s write a system of equations:

y = 3x – 6;

y = 2x – 1.

To solve the system, we use the substitution method. Each of the equations is an expression of the variable y in terms of x.

System of equations:

2x – 1 = 3x – 6;

y = 2x – 1.

We solve the resulting first equation of the system:

2x – 3x = -6 + 1;

x (2 – 3) = -5;

-x = -5;

x = 5.

System of equations:

x = 5;

y = 2 * 5 – 1 = 10 – 1 = 9.

(5; 9).