Answer:
No solution
Step-by-step explanation:
Given the below system of linear equations;

We'll follow the below steps to solve the given system of equations;
Step 1: Make y in Equation 1 the subject of formula by adding 5x to both sides and subtracting 3z from both sides as seen below;

Step 2: Put Equation 4 into Equation 2, we'll have;

Step 3: Put Equation 4 into Equation 3;

Step 4: Add Equation 5 and Equation 6;

We can see that adding Equation 5 and 6 gave us 0 = 3 which is not a valid equation, therefore, we can say that the given system of equations has no solution.