Final answer:
To simplify an algebraic expression, eliminate redundant terms, multiply coefficients and variables, and check the reasonableness of the answer. For equations with complex fractions, multiply numerators and denominators separately and simplify.
Step-by-step explanation:
To simplify the algebraic expression, start by eliminating terms wherever possible. For example, in the given equation 2 × 10 = 20 = 2×2× Qburgers + 2 × 0.5 × Qbus tickets 4 × Qburgers + 1 × Qbus tickets, begin simplifying by multiplying both sides by 2:
- Multiply 2 × 10 to get 20.
- Multiply 2×2× Qburgers (which simplifies to 4 × Qburgers) and 2 × 0.5 × Qbus tickets (which simplifies to 1 × Qbus tickets).
- The resulting equation simplifies to 20 = 4 × Qburgers + Qbus tickets.
- Next, check the reasonableness of the answer by substituting known values into the variables, if applicable.
For complex fractions, remember to multiply numerators together and denominators together, simplifying by common factors as needed. Dividing both sides by coefficients may also help in simplifying loop equations.