Points A (x) and B (5x-8) are marked on the coordinate line. At what value of x is the length of the segment AB equal to 4

| July 2, 2021 | education

Points A (x) and B (5x-8) are marked on the coordinate line. At what value of x is the length of the segment AB equal to 4, if it is known that point A on the coordinate line lies to the left of point B.

To find the length of the segment between two points on the coordinate line, you need to subtract the left one from the right coordinate. Point coordinates are expressions in parentheses. Point B has a 5x – 8 coordinate, point A has an x coordinate. Also in the condition it is indicated that the right point is B (5x – 8), and the left is A (x). Let’s compose and solve the equation if it is known that the length of the segment (the difference between the coordinates) is 4.

5x – 8 – x = 4;

4x – 8 = 4;

4x = 4 + 8;

4x = 12;

x = 12: 4;

x = 3.

Answer: 3.



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