Tillyx2303idn
Answered

Connect with a knowledgeable community and get your questions answered on IDNLearn.com. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.

(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]

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.