tyrajadet
contestada

One line segment is 5 cm more than 4 times the length of another. The difference in their lengths is 35 cm. How long
are they?
20 cm and 55 cm
10 cm and 40 cm
10 cm and 45 cm
20 cm and 45 cm

Respuesta :

calculista

Answer:

10 cm and 45 cm

Step-by-step explanation:

Let

x -----> the length of one segment

y ----> the length of another segment

we know that

I assume that x > y

x-y=35 -----> equation A

x=4y+5 ----> equation B

substitute equation B in equation A and solve for x

[tex](4y+5)-y=35\\4y-y=35-5\\3y=30\\y=10\ cm[/tex]

Find the value of x

[tex]x=4y+5\\x=4(10)+5\\x=45\ cm[/tex]

therefore

The length of the segments are

10 cm and 45 cm

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