Points A, B, C lie on one straight line. Point A lies between points B and C. AB = x, AC = x + 4.3; BC = 6.7.

Points A, B, C lie on one straight line. Point A lies between points B and C. AB = x, AC = x + 4.3; BC = 6.7. Find the length of the segment AC.

Given:
points A, B, C lie on one straight line,
point A lies between points B and C,
AB = x,
AC = x + 4.3
BC = 6.7.
Find the length of the segment AC -?
Decision:
Consider the BC segment. Its length is equal to the sum of the lengths of the segments AB and AC, since point A lies between points B and C and all these three points lie on one straight line. Let’s make the equation:
x + x + 4.3 = 6.7;
x + x = 6.7 – 4.3;
x + x = 2.4;
x * (1 + 1) = 2.4;
x * 2 = 2.4 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 2.4: 2;
x = 1.2 centimeters – the length of the segment AB;
1.2 + 4.3 = 5.5 centimeters — the length of the AC segment.
Answer: 5.5 centimeters.