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DIA [1.3K]
2 years ago
9

(y+3):(y+5)=k:1 show that y=(5k-3)/(1-k) hence y=(5k-2)/(1-k)

Mathematics
1 answer:
luda_lava [24]2 years ago
4 0

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

____

1 - k

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