Which of the following is the solution of the given system of equations?

2x + 2y + z = -12


x + z = 20


x = 1

A(1, -33/2, 19 )

B( 1, 33/2, 19)

C(1, -17, 19)

D(1, -25, 21)

Verified Answer :

The answer is A

We have. x=1, then we substitute that on x+z = 20, to solve for z.
1+z=20
z=20-1
z=19
Then we substitute both values x=1 and z=19 on the other equation.
2x +2y+ z = -12
2*1 + 2y + 19= -12
2y= -12 -19-2
2y= -33
y=-33/2