jadelynrose jadelynrose

21-08-2020
Mathematics

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Use the number line below, where RS = 7y +5, ST = 2y + 7, and RT = 14y - 28.
a. What is the value of y?
b. Find RS, ST, and RT.

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mhanifa mhanifa

21-08-2020

Answer:

a. 8

b. 61, 23, 84

Step-by-step explanation:

As we can see, point S is between points R and T, therefore:

RS + ST = RT
7y + 5 + 2y + 7 = 14y - 28
9y + 12 = 14y - 28
14y - 9y = 12 + 28
5y = 40
y = 40/5
y = 8

------------

RS = 7y+5 = 61
ST = 2y + 7= 23
RT = 14y - 28 = 84

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