rubyfranco6566 rubyfranco6566
  • 02-06-2021
  • Mathematics
contestada

One number is six less than a second number. Twice the first is 4 more than times 6 the second. Find the numbers.

Respuesta :

Corsaquix
Corsaquix Corsaquix
  • 02-06-2021

Answer:

[tex]\text{First number: }-10, \\\text{Second number: }-4[/tex]

Step-by-step explanation:

We can write the following system of equations:

Let the first number be [tex]f[/tex] and the second number be [tex]s[/tex]:

[tex]\begin{cases}f+6=s, \\2f-4=6s\end{cases}[/tex]

Solving, we get:

[tex]\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}[/tex]

Solving for [tex]s[/tex]:

[tex]f+6=s,\\-10+6=s,\\s=\boxed{-4}[/tex]

Answer Link

Otras preguntas

what are some interesting facts about the great sandy desert?
write the equation in function form then graph it 5x-2y=6 thx to the ppl who help
how do you write fraction 9/10 as a decimaland how to convert fractions into decimals
algae do not cause disease or not
A radio station transmits waves at a frequency of 120MHz an a speed of 300 million m/s. Calculate the wavelength.
if square root of 405 rounded to the nearest thousandth is 20.125  how do u simplify to get to that answer, thank u.
determine whether each expression is meaningful as  a real number  yes or no?   -√9
n^2+7n+15=5 show work please
In a titration, 45.0 mL of KOH is neutralized by 75.0 mL of 0.30M HBr. How much KOH is in 1.0 liter of the KOH solution ?
What substance is made during transcription and where does it occur