Question

Is (-2,-3,3) a solution for this system:
-x-5y-5x=2
4x-5y+4z=19
x+5y-z=20

Answer 1

(-2,-3,3) is not a solution for the given system of equations.

Step-by-step explanation:

To determine if (-2,-3,3) is a solution for the system: -x-5y-5x=24x-5y+4z=19x+5y-z=20, we need to substitute the values of x, y, and z into each equation and check if the equations hold true.

• For the first equation: -x - 5y - 5z = 2(-2) - 5(-3) - 5(3) = 24 + 15 - 15 = 24, which is equal to the right side of the equation.
• For the second equation: x-5y+4z = -2 - 5(-3) + 4(3) = -2 + 15 + 12 = 25, which is not equal to the right side of the equation.
• For the third equation: x+5y-z = -2 + 5(-3) - 3 = -2 - 15 - 3 = -20, which is not equal to the right side of the equation.

Since (-2,-3,3) does not satisfy the second and third equations, it is not a solution for the given system of equations.