Is the point C of intersection of lines 3x-4y-8 = 0 and 3x + 4x-16 = 0 if C (4; 1).

We need to find out whether point C with coordinates (4; 1) of intersection of lines 3x – 4y – 8 = 0 and 3x + 4y – 16 = 0, we can act in two ways.

The first way is to solve a system of these equations. The second way is to substitute the coordinates of the points into the equations and perform the calculations. If in both equations we get the correct equalities, then the point is the point of intersection of lines.

Let’s do the second way:

x = 4; y = 1.

3 * 4 – 4 * 1 – 8 = 0; follow 12 – 4 – 8 = 12 – 12 = 0;

3 * 4 + 4 * 1 – 16 = 0; it follows 12 + 4 – 16 = 16 – 16 = 0.

Conclusion, point C is the intersection point of the lines.