Question

one line segment is 5 cm more than four times the length of another the difference in their lengths is 35cm how long are they​

Answer 1

`\text{Equations}x=4y+5\\x-y=35\\\text{solving}4y+5-y=35\\3y=30\\\boxed{y=10}\\x=4(10)+5\\\boxed{x=45}`

Answer 2

Length of the segments will be 10 cm and 45 cm.

Explanation:

Let the length of one segment is x.

Then by the statement of this question,

"one segment is 5 cm more than four times the length of another".

Length of other segment = 4x + 5

(4x + 5) - x = 35

4x + 5 - x = 35

3x + 5 = 35

3x = 35 - 5

3x = 30

x = 10 cm

Length of other segment = 4(10) + 5 = 45 cm

Therefore, two segments are of length 10 cm and 45 cm.