For the system shown below, what is the value of z? 3x - y = 16 3x - 4z = 2 y = -2x +14 5
6
4
2

The value of x from the given equation is 19

Given the system of equation expressed as;

Substitute equation 3 into 1

3x - (-2x+114) = 16

3x + 2x - 114 = 16

5x = 130

x = 26

Since 3x - 4z =2

3(26) - 4z = 2

78 - 4z= 2

4z = 76

z=19

Hence the value of x from the given equation is 19

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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 -

x = 6 , y = 2 and z =4