Find the coordinates of the point of intersection of linear functions: a) y = 2x-3 and y = -x + 3; b) y = 1-x and y = -3 + x.

To find the coordinates of the point of intersection of straight lines, which are given by the equations y = 2x – 3 and y = -x + 3, we will solve the system of these equations:

y = 2x – 3;

y = -x + 3.

To solve a system of equations, you need to use the substitution method, since each equation in the system is an expression of one variable through another.

We substitute the expression from the second into the first equation:

-x + 3 = 2x – 3;

y = -x + 3.

We solve the first equation:

-x – 2x = -3 – 3;

-3x = -6;

x = 2.

System of equations:

x = 2;

y = -2 + 3 = 1.

(2; 1) intersection point.