Respuesta :

Answer:

D

-5x + y = 7

x+3y = 5

Step-by-step explanation:

when you graph the equations, they are parallel. as you know, solutions are the point where the lines meet. if they are parallel, it's not possible for the lines to intersect.

Answer and Step-by-step explanation:

Lets solve each one and see which has solutions and which one doesn't have a solution.

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A) x + y = -6

   x + y = 12

Solve for y for one of the equations, then plug it into the other equation.

y = -6 - x                  

x + (-6 - x) = 12     =    -6 = 12  No Solution

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B) y = 2x + 5

   y = -3x + 1

2x + 5 = -3x + 1

4 = - 5x

[tex]-\frac{4}{5} =x[/tex] Solution

_________________________________________________________ C) y = 4x - 8

    y = 2x - 4

4x - 8 = 2x - 4

2x = 4

x = 2 Solution

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D) -5x + y = 7

     x + 3y = 5

x = 5 - 3y

-5(5 - 3y) + y = 7

-25 + 15y + y = 7

16y = 32

y = 2 Solution

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So, A is the correct answer. Sorry for the late answer!

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