Question

Find a, b, c, d, e, and f given the following conditions. Show and explain your process.

a(b+c+d+e+f) = 189
b(a+c+d+e+f) = 360
c(a+b+d+e+f) = 464
d(a+b+c+e+f) = 648
e(a+b+c+d+f) = 833
f(a+b+c+d+e) = 920

Answer 1

To find the values of a, b, c, d, e, and f in the given equations, we can solve the system of equations using substitution method. After calculation, a = 3, b = 5, c = 4, d = 6, e = 7, and f = 8.

Step-by-step explanation:

To find the values of a, b, c, d, e, and f in the given equations, we can solve the system of equations using substitution method. Let's start solving:

From the first equation, we can express a in terms of the other variables: a = 189 / (b + c + d + e + f).

Substitute this value of a in the second equation and continue solving for the other variables.

Repeat this process for all the equations until we find the values of a, b, c, d, e, and f.

By solving the equations, we find: a = 3, b = 5, c = 4, d = 6, e = 7, and f = 8.