registeredflex registeredflex
  • 19-12-2020
  • Mathematics
contestada

3x - 5y = 24
-3x – 6y = 9
Solve the system of equation by elimination (addition)

Respuesta :

jimrgrant1 jimrgrant1
  • 19-12-2020

Answer:

(3, - 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = 24 → (1)

- 3x - 6y = 9 → (2)

Adding the 2 equations term by term will eliminate the x- term, that is

- 11y = 33 ( divide both sides by - 11 )

y = - 3

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

Substituting into (1)

3x - 5(- 3) = 24

3x + 15 = 24 ( subtract 15 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 3 )

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