Points A, B, C are collinear. Point A lies between points B and C. AB = x, AC = x + 4.3; BC = 6.7.

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

Given:
Points A, B, C are collinear,
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.
Since the length of the segment AB = x, and the length of the segment AC = x + 4.3. We know that BC = AB + AC. 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 – the length of the segment AB;
1.2 + 4.3 = 5.5 – the length of the BC segment.
Answer: BC = 5.5.