Respuesta :
(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)
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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.