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;
[tex]x+y=69[/tex] and
[tex]x=2y-12[/tex]
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 [tex]x=2y-12[/tex] in the equation [tex]x+y=69[/tex], we get;
[tex]2y-12+y=69[/tex]
[tex]3y-12=69[/tex]
[tex]3y=81[/tex]
[tex]y=27[/tex]
Thus, the length of y is 27.
Substituting [tex]y=27[/tex] in the equation [tex]x=2y-12[/tex] , we have;
[tex]x=2(27)-12[/tex]
[tex]x=54-12[/tex]
[tex]x=42[/tex]
Thus, the length of x is 42.
Therefore, the lengths of the line segments are 27 cm and 42 cm.
