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
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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