Remymontoya25 Remymontoya25
  • 11-09-2021
  • Mathematics
contestada

Use substitution to solve the system.
y = 2x-1
3x +2y = 19

Respuesta :

jimrgrant1 jimrgrant1
  • 11-09-2021

Answer:

x = 3, y = 5

Step-by-step explanation:

Given the equations

y = 2x - 1 → (1)

3x + 2y = 19 → (2)

Substitute y = 2x - 1 into (2)

3x + 2(2x - 1) = 19 ← distribute parenthesis and simplify left side

3x + 4x - 2 = 19

7x - 2 = 19 ( add 2 to both sides )

7x = 21 ( divide both sides by 7 )

x = 3

Substitute x = 3 into (1) and evaluate for y

y = 2(3) - 1 = 6 - 1 = 5

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