Substitution with rearranged subjects
Make one variable the subject then substitute into the second equation.
Key formulas
What this lesson covers
This lesson builds Secondary 2–3 skill in substitution harder. Read the key formulas, study the worked example, then attempt the written practice and the four-question MCQ review.
Method
Write every step. Name the rule you use (substitution harder) before substituting numbers. Keep units and signs visible until the final sentence.
Common mistakes
Students often rush the sign, use the wrong percentage base, or cancel terms instead of factors. Pause after each line and ask whether the step is reversible.
Exam habit
Underline the question verb (simplify, solve, factorise, find). Box the final answer and, where sensible, substitute back for a quick check.
Worked example
Worked example — substitution harder
Problem. Apply the method for substitution harder with the numbers 4 and 3.
Solution. Identify the rule for substitution harder. Substitute 4 and 3 carefully with signs in brackets if needed. Complete each operation on a new line. State the final answer clearly and check by reversing one step.
Review quiz
1 / 4Warm-up on substitution harder: what is 4+3?
Practice questions
- Practice 1 on substitution harder: compute with the value 46.
- Practice 2 on substitution harder: change the numbers and repeat the same method.
- Practice 3 on substitution harder: write one sentence explaining the key rule.
- Practice 4 on substitution harder: invent a similar exam-style question and solve it.
Study notes
What is the main idea of substitution harder?
Apply the stated formula or rule with clear steps, then check by reversing or substituting.
How should I revise this topic?
Cover the worked example, redo the practice without notes, then complete the MCQ set and log any wrong options.