Respuesta :

carlosego
For this case we have the following system of equations:
 [tex]y = -2x +3 y = -x + 1[/tex]
 Equating the values of y we have:
 [tex]-2x +3 = -x + 1 [/tex]
 From here, we can clear the value of x.
 We have then:
 [tex]-2x + x = 1 - 3 -x = -2 x = 2[/tex]
 Then, we look for the value of y.
 For this, we substitute x in any of the equations:
 [tex]y = -x + 1 y = -2 + 1 y = -1[/tex]
 Answer:
 The ordered pair solution of the system of equations, is given by:
 [tex](x, y) = (2, -1)[/tex]

Answer:

The two systems will intercept at point x = 2, y=-1

Step-by-step explanation:

The solution of the two equations can be determined using substitution:

[tex]y=-2*x+3[/tex] (1)

[tex]y=-x+1[/tex] (2)

Substitue equation 1 into 2:

We obtain the equation in terms of x and simplify

[tex]-2*x+3=-x+1[/tex]

[tex]x=2[/tex]

Therefore x=2 we can substitute into equation 2

[tex]y=-(2)+1= -1[/tex] (2)

Therefore the systems will intercept at point (2,-1)

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