Find the coordinates of the intersection of the graphs of the functions y = -14x + 32 and y = 26x-8

In order to find the coordinates of the point of intersection of the graphs of the functions given by the equations y = -14x + 32 and y = 26x – 8.

System of equations:

y = -14x + 32;

y = 26x – 8.

We will solve the system by the substitution method. Substitute in the first equation of the system instead of y the expression from the second equation and solve the resulting linear equation.

System of equations:

26x – 8 = -14x + 32;

y = 26x – 8.

We solve the first equation of the system:

26x + 14x = 32 + 8;

40x = 40;

x = 1.

System of equations:

x = 1;

y = 26x – 8 = 26 * 1 – 8 = 26 – 8 = 18.

Answer: (1; 18).