If y varies directly as x and z, and y=105

Sydney Stanley

Sydney Stanley

Answered question

2022-04-22

If y varies directly as x and z, and y=105 when x=7 and z=5, find y when x=10 and z=2

Answer & Explanation

Daisy Patrick

Daisy Patrick

Beginner2022-04-23Added 16 answers

Step 1
Given:
yx
y=ax...(1)
And,
yz
y=bz....(2)
Where a and b are constant
Step 2
Now,
Substitute x=7 and y=105 in (1)
105=act7
a=15
Thus,equation (1) is:
y=15x
Subtitute x=10:
y=15ct10
=150
Step 3
Now again
Subtitute z=5 and y=105 in (2)
105=bct5
b=21
Thus, equation (2) is:
y=21z
Subtitute z=2:
y=21ct2
=42

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