The value of x is 3 and the AB = 10, BD = 14, and CE = 17 if the points A, B, C, D, and E are collinear.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Points A, B, C, D, and E are collinear.
If AC = 16
From the line graph:
x + 7 + 2x = 16
3x = 16 - 7
3x = 9
x = 9/3 = 3
AB = x + 7
AB = 3 + 7
AB = 10
BD = 2x + 3x - 1
BD = 5x - 1
BD = 5(3) - 1
BD = 15 - 1 = 14
CE = 3x - 1 + 2x + 3
CE = 5x + 2
CE = 5(3) + 2 = 15 + 2 = 17
Thus, the value of x is 3 and the AB = 10, BD = 14, and CE = 17 if the points A, B, C, D, and E are collinear.
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