Construct 3 linear equation starting with qiven solution z = 1/3

(a)

(b)

(c)

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

Equation 1

Multiply both sides by 9

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is:

Equation 2

Multiply both sides by 21

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is:

Equation 3

Multiply both sides by 6

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is:

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.