Question

For the system shown below, what is the value of z? 3x - y = 16 3x - 4z = 2 y = -2x +14

Answer 1

Answer:

c) 4

The value of   z= 4

Step-by-step explanation:

Step(i):-

Given equations are  

             3x - y =16 .. . (i)

            3x -4z =2  .. . (ii)

            2x +y = 14 .. .(iii)

solving (i) and (ii) equations , we get

      Adding (i) and (ii)

  3 x -y + 2x +y = 16 +14

      5 x = 30

         x = 6

step(ii):-

Substitute 'x' =6 in equation (i), we get

      3(6) -y =16

       18 - 16 =y

        y = 2

x =6 and y =2

substitute x=6 in equation (ii) , we get

      3 (6) - 4 z = 2

      18 - 2 = 4 z

        16 = 4 z

      z = 4

Final answer:-

x = 6 , y = 2 and z =4