Evaluate the linear equation:
Solve the equation ax - b = c for x in terms of a, b, and c.
Solution:
Step 1. Using Axiom 1, add b to both sides of the equation.
ax - b + b = c + b
ax = c + b
Step 2. Using Axiom 4, divide both sides of the equation by a.
ax/a = (c+b)/a
x= (c+b)a
Step 3. Check the root.
a(c+b)/a -b = c+b -b =c
The root checks.