Which statement is true about the equations -3x + 4y = 12 and #x - 4y = 12 O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.

It has exactly one solution

Step-by-step explanation:

The two equations are, -3x + 4y = 12, and x - 4y = 12

-3x + 4y = 12 > -3x + 4y -12 = 0, where, a1 = -3, b1 = 4 and c1 = -12

x - 4y = 12 > x - 4y - 12 =0, where a2 = 1, b2 = -4 and c2 = -12

So, a1/a2 = -3/1

b1/b2 = 4/-4- 1/-1

Since it is of the form, a1/a2 =/(is not equal to) b1/b2, it has exactly one solution.

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