If
2
a
=
3
b
=
4
c
=
k
2a−3b+5c
, then find the value of k.
- A15
- B18
- C10
- D12
Solution & Step-by-step Explanation
Let
2
a
=
3
b
=
4
c
=x.
Then:
a=2x
b=3x
c=4x
Substitute these values into the expression
k
2a−3b+5c
=x:
k
2(2x)−3(3x)+5(4x)
=x
k
4x−9x+20x
=x
k
15x
=x
Since x
=0, we can divide both sides by x:
k
15
=1⟹k=15
2
a
=
3
b
=
4
c
=x.
Then:
a=2x
b=3x
c=4x
Substitute these values into the expression
k
2a−3b+5c
=x:
k
2(2x)−3(3x)+5(4x)
=x
k
4x−9x+20x
=x
k
15x
=x
Since x
=0, we can divide both sides by x:
k
15
=1⟹k=15