Question

Which statement is true about the equations –3x + 4y = 12 and One-fourthx – One-thirdy = 1? The system of the equations has exactly one solution at (–8, 3). 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.

Answer 1

Answer:

The system of the equations has no solution; the two lines are parallel

Step-by-step explanation:

we have

$-3x+4y=12$ ----> equation A

$\frac{1}{4}x-\frac{1}{3}y=1$ -----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The lines does not intersect, the lines are parallel

see the attached figure

therefore

The system of the equations has no solution

Answer 2

Answer:

C.The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation: