Respuesta :
The values of y, RS and ST are 15, 107 and 33 respectively
How to determine the value
From the information given, we have that:
- RS = 7y + 2
- ST = 2y + 3
- RT = 77
Let's assume that line RS is a line segment and T lines between R and S
We then have:
RS = ST + RT
substitute the expressions
7y + 2 = 2y + 3 + 77
Collect like terms
7y - 2y = 3 + 77 - 2
Add/ subtract like terms
5y = 75
Make 'y' the subject
y = 75/ 5
a. y = 15
b.
RS = 7y + 2 = 7 (1 5) + 2 = 107
ST = 2y + 3 = 2 ( 15) + 3 = 33
Thus, the value of y, RS and ST are 15, 107 and 33 respectively
Learn more about line segments here:
https://brainly.com/question/2437195
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The value of y in the number line is 8.
RS = 58
ST = 19
How to find the value of y?
RS = 7y + 2
ST = 2y + 3
RT = 77
Therefore, the value of y can be found as follows:
S is between R and T.
Therefore,
7y + 2 + 2y + 3 = 77
7y + 2y + 5 = 77
9y = 77 - 5
9y = 72
y = 72 / 9
y = 8
Hence,
RS = 7(8) + 2 = 58
ST = 2(8) + 3 = 19
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