Respuesta :

Answer:

  • (5/3, 14/3) or (1.66, 4.66)

Step-by-step explanation:

Given system of equations

  • y = 4x - 2
  • y = x + 3

The solution is the intersection point of the lines

Determine x- coordinate:

  • 4x - 2 = x + 3
  • 4x - x = 3 + 2
  • 3x = 5
  • x = 5/3

Determine y- coordinate:

  • y = x + 3
  • y = 5/3 + 3 = 14/3

So the point is:

  • (5/3, 14/3) or (1.66, 4.66)