salemeyob3 salemeyob3
  • 12-12-2020
  • Mathematics
contestada

if x+2y =3 and 2x+y=3 then find x²+y²

Respuesta :

jimrgrant1 jimrgrant1
  • 12-12-2020

Answer:

x² + y² = 2

Step-by-step explanation:

Given

x + 2y = 3 → (1)

2x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 3 - 2x → (3)

Substitute y = 3 - 2x into (1)

x + 2(3 - 2x) = 3 ← distribute and simplify left side

x + 6 - 4x = 3

- 3x + 6 = 3 ( subtract 6 from both sides )

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into (3) and evaluate for y

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

Thus

x² + y² = 1² + 1² = 1 + 1 = 2

Answer Link

Otras preguntas

Define and describe the effects of the Nazis' Final Solution.
Does Alexander the Great deserve to be called Great? This is just your opinion.
what is 1 half subtracted by 1 forth ?
Ian is another of Josie’s clients. He is 60 years old. What is the MHR for Ian when he is training
How can alternative practices lead to a reduced impact on waterways?
a boat travels 3,600 in 12 minutes.what is the boat speed
In Saudi Arabia, roughly 95% of the country's oil production is controlled by the government. This would suggest that most of Saudi Arabia is a ___ economy.
Speed in a given direction is called what?
by granting amnesty to americans who had evaded the draft presidwnt carter hoped to
what allowed native americas in mexico to settle cities larger than those to area in the north