christianhaggard
christianhaggard christianhaggard
  • 21-01-2022
  • Mathematics
contestada

y= -2x+1. 2x -2y=4. solving systems of equations using substitution​

Respuesta :

jimrgrant1 jimrgrant1
  • 21-01-2022

Answer:

(1, - 1 )

Step-by-step explanation:

y = - 2x + 1 → (1)

2x - 2y = 4 → (2)

Substitute y = - 2x + 1 into (2)

2x - 2(- 2x + 1) = 4 ← distribute parenthesis and simplify left side

2x + 4x - 2 = 4

6x - 2 = 4 ( add 2 to both sides )

6x = 6 ( divide both sides by 6 )

x = 1

Substitute x = 1 into (1)

y = - 2(1) + 1 = - 2 + 1 = - 1

solution is (1, - 1 )

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