Question

(y+3):(y+5)=k:1 show that y=}{1-k}" alt="\frac{5k-3}{1-k}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

see explanation

Step-by-step explanation:

Express the ratios in fractional form, that is

$\frac{y+3}{y+5}$ = $\frac{k}{1}$ ( 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 = $\frac{5k-3}{1-k}$