nzamorano31511 nzamorano31511
  • 22-10-2019
  • Mathematics
contestada

Does the following system of equations have a solution? If so, find one. If not, explain why not. 2x+y+z=4, x-y+3z=-2, -x+y+z=-2.

Respuesta :

nuuk nuuk
  • 22-10-2019

Answer:x=2, y=1, z=-1

Step-by-step explanation:

Given

2x+y+z=4----1

x-y+3z=-2----2

-x+y+z=-2----3

Add 2 & 3 we get

4z=-4

z=-1

Put value of z in 1 & 2

2x+y-1=4

2x+y=5----3

x-y+3(-1)=-2

x-y=1------4

add 3 & 4 we get

x=2

Put x & z in 1

y=1

Answer Link

Otras preguntas

Do flashcards help students retain the Chinese Language? Six randomly selected students are given a pretest, asked to study a set of flashcards once a day for a
Write six tenths as a decimal number.
Is it true that Richard Rodgers and Oscar Hammerstein II only wrote with one another?
Work out the area of this triangle
Solve the equation 2x2 + 13x + 15 = 0 by factoring. Show all steps.
What is the graph f(x) = 1/4(4)x
The United States issues a warning against travel to certain countries that had been popular tourist destinations. How will this policy decision most likely aff
In the figure above, a box of mass 2.5kg is initially at rest on a rough inclined plane. Assuming the mass is released and acquires a velocity of 4m/s at point
Suppose you take a random sample of one score from this bucket. The probability that this score shows a 3 is p(X = 3) =0.09 . The probability that this score sh
What did the Birmingham, Alabama Public Safety Commissioner "Bull” Connor do to incite violence against the Freedom Riders and deny them police protection?