josephtoledo527
josephtoledo527 josephtoledo527
  • 09-02-2021
  • Mathematics
contestada

Solve the following system of equations.

18x+6y=3018x+6y=30
18x+22y=1418x+22y=14

Respuesta :

mhanifa
mhanifa mhanifa
  • 09-02-2021

Answer:

  • (2, -1)

Step-by-step explanation:

Given system

  • 18x+6y=30  
  • 18x+22y=14

Solve by elimination, subtract the equations and solve for y:

  • 18x + 6y - 18x - 22y = 30 - 14
  • -16y = 16
  • y = -1

Find x by substituting y:

  • 18x + 6(-1) = 30
  • 18x - 6 = 30
  • 18x = 36
  • x = 36/18
  • x = 2

The answer is: (2, -1)

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