terrancegilreath terrancegilreath
  • 12-02-2020
  • Mathematics
contestada

Solve the system of linear equations below.
x-3y=-3
x + 3y = 9
OA. x = -12, y = 7
B. * = 3, y = 2
C. X = 6, y = 1
D. X = 6, y = 2

Respuesta :

jimrgrant1 jimrgrant1
  • 12-02-2020

Answer:

x = 3, y = 2

Step-by-step explanation:

Given the 2 equations

x - 3y = - 3 → (1)

x + 3y = 9 → (2)

Adding the 2 equations term by term eliminates the term in y, that is

(x + x) + (3y - 3y) = (- 3 + 9), that is

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting x = 3 into (2)

3 + 3y = 9 ( subtract 3 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

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