dawit92 dawit92
  • 21-12-2019
  • Mathematics
contestada

if a/b = c/d then show that a/b+a = c/d+c ?​

Respuesta :

DeanR
DeanR DeanR
  • 21-12-2019

[tex]\dfrac a b = \dfrac c d[/tex]

Cross multiply,

[tex]ad = bc[/tex]

Add ac to both sides,

[tex]ad + ac = bc + ac[/tex]

Factor,

[tex]a(d+c) = c(b+a)[/tex]

Divide by (b+a)(d+c),

[tex]\dfrac{a}{b+a} = \dfrac{c}{d+c} \quad\checkmark[/tex]

Answer Link

Otras preguntas

What is the solution to the equation P over 9= 72?
Why was Charles Martel’s victory at the Battle of Tours so important for Christianity?
which two geometric sequence in the following list have the same ratio? a. 4.3, 17.2, 68.8, 275.2 b.5, 15, 45, 135, 405 c -5, -15,- 45, -135,- 405 d. -4.8, -16.
According to the World Health Organization, if a sample of 1,000 deaths from around the world was taken, the majority of deaths would be in __________. a. devel
Which is a key component of the energy molecule ATP? sodium phosphorus chlorine sulfur
Do you agree with claims that early Rome had achieved a “balanced” government? Explain.
Why was the Weimar Republic considered weak?
Simplify 7(n - p) + 5p.
Why might nations want to retain or develop an arsenal of nuclear, biological, and chemical weapons?
Evaluate the strenghts and weaknesses of Andrew Jackson as president