Question

9.

Solve the following system of equations
3x −2y + 4z = 20
−x + 5x +12z = 73
x + 3y −2z = 1

Select the appropriate response:

A) x =4, y = 3, z = 5
B) x = 2, y = 3, z = 5
C) x = 5, y = 5, z = 5
D) x = 7, y =8, z = 5

Answer 1

B) x = 2, y = 3, z = 5

Explanation:

3x −2y + 4z = 20

3(2) - 2(3) + 4(5) = 20

20 = 20

−x + 5y +12z = 73

-2 + 5(3) + 12(5) = 73

73 = 73

x + 3y −2z = 1

2 + 3(3) - 2(5) = 1

1 = 1