If x varies directly with 3y + 5 and y =5/3 when x = 10, then what is the value of y when x = 36?
please tell with explanation according to 8th grade.
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Answer:
x Varies directly with 3y+5
i.e., x=K(3y+5)
If y=
5
3
when x=10
⟹10=K(3×
5
3
+5)
⟹10=K(
5
9
+5)
⟹10=K×
5
34
⟹K=10×
34
5
=
17
25
∴x=
17
25
(3y+5)
When x=35 then,
35=
17
25
(3y+5)
⟹35×
25
17
=3y+5
⟹
5
119
=3y+5
⟹
5
119
−5=3y
⟹
5
94
=3y
∴y=
15
94
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