Question

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?

Answer 1

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;

`x+y=69` and

`x=2y-12`

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
`x=2y-12` in the equation
`x+y=69`, we get;

`2y-12+y=69`

`3y-12=69`

`3y=81`

`y=27`

Thus, the length of y is 27.

Substituting
`y=27` in the equation
`x=2y-12` , we have;

`x=2(27)-12`

`x=54-12`

`x=42`

Thus, the length of x is 42.

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