Question

which statement is true about the equations –3x 4y = 12 and x1/4 – 1/3y = 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

If you would like to solve the system of equations, you can do this using the following steps:

-3x + 4y = 12
x * 1/4 - 1/3 * y = 1 ... x * 1/4 = 1 + 1/3 * y ... x = 4 + 4/3 * y
_____________
-3x + 4y = 12
-3 * (4 + 4/3 * y) + 4y = 12
-12 - 4y + 4y = 12
-12 = 12
-12 - 12 = 0
-24 = 0

The correct result would be: the system of the equations has no solution; the two lines are parallel.