Question

Use the number line below, where RS = 6y +3, ST = 3y + 7, and RT= 13y – 10.
a. What is the value of y?
b. Find RS, ST, and RT.​

Answer 1

Answer:

a. y = 5

b. RS = 33, ST = 22, RT = 55

Step-by-step explanation:

R, S and T lies in the same straight line, therefore following vector equation is true,

RS + ST = RT since:

Given RS = 6y + 3, ST = 3y + 7, and RT = 13y - 10

On substituting these values into the equation above we will have:

(a.) 6y + 3 + (3y + 7) = 13y - 10

→ 6y + 3 + 3y + 7 = 13y - 10

→ 9y + 10 = 13y - 10

→ 10 + 10 = 13y - 9y

→ 20 = 4y

→ y = 20/4

→ y = 5

(b.)

RS = 6y + 3

RS = 6(5) + 3

RS = 30 + 3

RS = 33

ST = 3y + 7

ST = 3(5) + 7

ST = 15 + 7

ST = 22

RT = 13y - 10

RT = 13(5) - 10

RT = 65 - 10

RT = 55

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