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(y+3):(y+5)=k:1
show that y=[tex]\frac{5k-3}{1-k}[/tex]

Sagot :

Answer:

see explanation

Step-by-step explanation:

Express the ratios in fractional form, that is

[tex]\frac{y+3}{y+5}[/tex] = [tex]\frac{k}{1}[/tex] ( 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 = [tex]\frac{5k-3}{1-k}[/tex]

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