Calculate the coordinates of the intersection points 4x + y = 17, 4x-y = 15

To find the coordinates of the intersection points, you need to solve a system of these two equations. Let’s see what happens:

4x + y = 17;

4x – y = 15.

We solve the resulting system of equations by the addition method:

4x + 4x = 17 + 15;

8x = 32;

x = 32/8;

x = 4;

4 * 4 + y = 17;

16 + y = 17;

y = 17-16;

y = 1.

Answer: the intersection point has coordinates (4; 1).

Check:

4 * 4 + 1 = 17;

16 + 1 = 17;

17 = 17.

4 * 4 – 1 = 15;

16 – 1 = 15;

15 = 15.