Question

If possible, find the solution of y=x+2z

z=-1-2x
x=y-14

A. No solution
B.(11,-14,7)
C.(-4,10,7)
D.(3,4,0)

Answer 1

C

Explanation:

EDGE

Answer 2

C. (-4,10,7)

Explanation:

Use the first equation to substitute for y in the last equation:

x = (x +2z) -14

14 = 2z . . . . . . add 14-x

7 = z . . . . . . . . divide by 2

Now, find x:

7 = -1 -2x . . . . substitute for z in the second equation

8/-2 = x = -4 . . . . . add 1, divide by -2

Finally, find y:

y = -4 +2(7) = 10 . . . . . substitute for x and z in the first equation

The solution is (x, y, z) = (-4, 10, 7).