lawrencebenoit9515 lawrencebenoit9515
  • 15-01-2020
  • Mathematics
contestada

Find solution to the system of linear equations. 3x1 + 6x2 = 2 , 9x1 + 12x2 = 1

Respuesta :

pedrocarratore
pedrocarratore pedrocarratore
  • 15-01-2020

Answer:

x₁ = -1

x₂ = 5/6

Step-by-step explanation:

The equations of the given linear system are:

[tex]3x_1 +6x_2=2\\9x_1 +12x_2 = 1[/tex]

Multiply the first equation by -2 and add it to the second one to solve for x₁:

[tex]-6x_1 -12x_2=-4\\9x_1 +12x_2 +(-6x_1 -12x_2)= 1-4\\3x_1=-3\\x_1=-1[/tex]

Since we already know the value of x₁, simply replace it in the first equation  to solve for x₂:

[tex]3x_1 +6x_2=2\\x_2=\frac{2+3}{6} =\frac{5}{6}[/tex]

The solution for the system is x₁ = -1 and x₂ = 5/6

Answer Link

Otras preguntas

ASAP PLEASE! WILL GIVE BRAINLY, THANKS,5 STARS! 880/11 (SHOW YOUR WORK!!)
- 15. Show that (3x - 1)(x + 5) is equivalent to 3x2 + 14x - 5 -
[tex]x {}^{4} + x {}^{2} y {}^{2} +y {}^{4} [/tex]resolve the factors​
The ferris wheel has a height of 134m
plzzzz help me with this question ❓​
If A large bucket holds 5 gallons of water, which is about 19 liters of water, and a small bucket holds 2 gallons of water about how many liters does it hold?
In 1–2 sentences, explain one thing that should be included in a conclusion and one thing that should not be included. Help Please there is 2 other question I n
who's Issac Newton ? ​
Answer the question below
Which of these sentences would best support the argument used in the passage? A. INDs may require a clinical study if the recommended dosage of the drug chan