If a:b=3:8, find the value of
2a+b
5a−3b
.
- A9/14
- B14/9
- C−9/14
- D−14/9
Solution & Step-by-step Explanation
Given
b
a
=
8
3
, let a=3k and b=8k.
Substitute these values into the given expression:
2a+b
5a−3b
=
2(3k)+8k
5(3k)−3(8k)
2a+b
5a−3b
=
6k+8k
15k−24k
=
14k
−9k
=−
14
9
b
a
=
8
3
, let a=3k and b=8k.
Substitute these values into the given expression:
2a+b
5a−3b
=
2(3k)+8k
5(3k)−3(8k)
2a+b
5a−3b
=
6k+8k
15k−24k
=
14k
−9k
=−
14
9