Find the coordinates of the intersection of the lines y is 3x and y is -2x-5.

In order to find the coordinates of the point of intersection of the lines y = 3x and y = -2x – 5, we will solve a system of these equations.

System of equations:

y = 3x;

y = -2x – 5.

To solve the system, we will use one of two methods – substitution.

Substitute in the first equation -2x – 5 instead of the variable y and get the system:

-2x – 5 = 3x;

y = 3x.

We solve the resulting first equation for the variable x:

-2x – 5 = 3x;

-2x – 3x = 5;

x (-2 – 3) = 5;

-5x = 5;

x = 5: (-5);

x = -1.

System of equations:

x = -1;

y = 3x = 3 * (-1) = -3.

Answer: (-1; -3).