Final answer:
To solve this system of equations using the method of substitution, start by solving the first equation for x, then substitute this expression for x in the other two equations. Solve the resulting equations to find the values of y and z.
Step-by-step explanation:
To solve the system of equations, we'll use the method of substitution. We can start by solving the first equation for x in terms of y and z:
x = (73y + 2z - 73) / (2 - 2)
Next, we can substitute this expression for x in the other two equations and solve for y and z:
Substituting x in the second equation: (73y + 2z - 73)/(2) + y + z = 9
Simplifying this equation: 73y + 2z + 2y + 2z - 73 + 36 = 18
5y + 4z = 55
Substituting x in the third equation: (73y + 2z - 73)/(2) + y - z = 0
Simplifying this equation: 73y + 2z + 2y - 2z - 73 = 0
75y = 73
Solving these two equations for y and z gives us the solution: (y, z) = (73/75, 73/75)