isaacbarrientos09 isaacbarrientos09
  • 19-02-2024
  • Mathematics
contestada

5x−2y=
12
6, x, plus, 2, y, equals, 32
6x+2y=
32

Respuesta :

jimrgrant1 jimrgrant1
  • 19-02-2024

Answer:

x = 4 , y = 4

Step-by-step explanation:

given the system of equations

5x - 2y = 12 → (1)

6x + 2y = 32 → (2)

adding the 2 equations term by term will eliminate y

(5x + 6x) + (- 2y + 2y) = 12 + 32

11x + 0 = 44

11x = 44 ( divide both sides by 11 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (2)

6(4) + 2y = 32

24 + 2y = 32 ( subtract 24 from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

The solution is x = 4 , y = 4

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