The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).
What are the values of a variable and the lengths of three line segments associated to it?
In accordance with geometry, three points are collinear if and only if these points lie on the same line. Then, the geometric system is represented by the following model:
AC = AB + BC
If we know that AB = x + 4, BC = 2 · x - 1 and AC = 4 · x - 7, then the value of x and the lengths of the line segments are, respectively:
4 · x - 7 = (x + 4) + (2 · x - 1)
4 · x - 7 = 3 · x + 3
x = 10
AB = 10 + 4
AB = 14
BC = 2 · 10 - 1
BC = 20 - 1
BC = 19
AC = 4 · 10 - 7
AC = 40 - 7
AC = 33
The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).
To learn more on collinear points: https://brainly.com/question/1593959
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