One line segment is 12 less than twice the length of another line segment. The sum of the links is 69 cm. How long are the lines segments?

Given:

Given that one line segment is 12 less than twice the length of another line segment.

The sum of the links is 69 cm.

Let x and y denote the lengths of two line segments.

Thus, we have;

and

We need to determine the lengths of the line segments.

Lengths of the line segments:

Let us use the substitution method to determine the length of the line segment.

Hence, substituting in the equation , we get;

Thus, the length of y is 27.

Substituting in the equation , we have;

Thus, the length of x is 42.

Therefore, the lengths of the line segments are 27 cm and 42 cm.

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