Solve the following system of equations Enter your answers a

Solve the following system of equations. (Enter your answers as a comma-separated list (x,y,z). If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.)

2x 16y 14z = 35

-4x + 32y + 28z = -48

Solution

The given system of equations is 2x - 16y -14z = 35...(1) and -4x +32y +28z = - 48...(2).

On multiplying both the sides of the 1stequation by - 2, we get -4x + 32y+ 28z = -70 ...(3). The left hand sides of equation numbers 2 and 3 are equal. Therefore, their right hand sides also have to be equal. Therefore, -48 = -70 which is incorrect.Thus, the given system of equations is inconsistent and does not have any solution. NONE