The values of y. RS and ST are 28, 201 and 121 respectively.
How to determine the value
From the information given, we have that:
- RS = 7y +5
- ST = 4y + 9
- RT = 80
Let's assume that line RS is a line segment and T lies between R and S
We then have:
RS = ST + RT
Substitute the values
7y + 5 = 4y = 9 + 80
collect like terms
7y - 4y = 89 - 5
3y = 84
make 'y' the subject
y = 84/ 3
y = 28
RS = 7y +5 = 7 ( 28) + 5 = 201
ST = 4y + 9 = 4 ( 28) + 9 = 121
Thus, the values of y. RS and ST are 28, 201 and 121 respectively.
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