AndrewtateW AndrewtateW
  • 29-01-2024
  • Mathematics
contestada

Solve using elimination.

7x − 2y = –13
–7x − 6y = –11

Respuesta :

jimrgrant1 jimrgrant1
  • 29-01-2024

Answer:

x = - 1 , y = 3

Step-by-step explanation:

given the system of equations

7x - 2y = - 13 → (1)

- 7x - 6y = - 11 → (2)

adding the 2 equations term by term will eliminate x

(7x - 7x) + (- 2y - 6y ) = - 13 - 11

0 + (- 8y) = - 24

- 8y = - 24 ( divide both sides by - 8 )

y = 3

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

substituting into (1)

7x - 2(3) = - 13

7x - 6 = - 13 ( add 6 to both sides )

7x = - 7 ( divide both sides by 7 )

x = - 1

The solution is x = - 1 , y = 3

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