Respuesta :

1god

(1,-1) is a solution of the system of linear equations.

To check whether a point is a solution of a system of linear equations, you can substitute the x and y values of the point into each equation and see if they are true.

For example, for point (1,-1):

x−2y = -1, we substitute x=1 and y=-1, we get: 1-2(-1) = -1 which is true.

y = -2x+3, we substitute x=1 and y=-1, we get: -1 = -2(1) + 3, which is true.

Since both equations are true, we can conclude that point (1,-1) is a solution of the system of linear equations.

Answer:

  • A) (1, 1)

--------------------------

Given system:

  • x - 2y = - 1,
  • y = - 2x + 3.

Solve by substitution:

  • x - 2(- 2x + 3) = - 1
  • x + 4x - 6 = - 1
  • 5x = 6 - 1
  • 5x = 5
  • x = 1

Find y:

  • y = - 2*1 + 3 = - 2 + 3 = 1

The matching choice is A.