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Solve the system of equations: x - 2y = -4 and 3x + 4y = 12

  1. (4, -2)

  2. (3, 4)

  3. (-4, 2)

  4. (-3, -4)

The correct answer is: (4, -2)

To solve a system of linear equations, we need to find the values of x and y that satisfy both equations simultaneously. To do this, we can use either the substitution or elimination method. Option B, (3, 4), does not satisfy either equation. When we plug in x=3 and y=4, we get -6 = -4 and 17 = 12, both of which are false statements. Option C, (-4, 2), also does not satisfy either equation. When we plug in x=-4 and y=2, we get 2 = -4 and -4 = 12, which are also false statements. Option D, (-3, -4), satisfies the first equation but not the second one. When we plug in x=-3 and y=-4, we get -1 = -4 and -25 =