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what is the solution to the system of equations? you must show all work to recieve full credit!

2x - 6y = -12
x - 2y = -8

A. use the subtitution method to justify that the given system of equations has no solition?
B. what do you know about the two lines in this sysyem of equations?

Respuesta :

Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2

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