Algebra · Linear equations
Chapter 1 · 4
The idea
Solving linear equations
Why an equation is a balance, why every move must be the INVERSE operation applied to both whole sides, and how brackets and unknowns on both sides fall to the same two moves.
A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.
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Algebra · Linear equations
Solving linear equations
Why an equation is a balance, why every move must be the INVERSE operation applied to both whole sides, and how brackets and unknowns on both sides fall to the same two moves.
Why it works
An equation is a balance
An equation is a balance. says: the two sides are the same number. Anything done to one whole side must be done to the other, or the balance — and the information — is destroyed. Solving is peeling the free one operation at a time, always by the inverse:Divide the WHOLE side
From , dividing by 3 gives — every term gets divided. (Cleaner: subtract 6 first.) Halving only the breaks the balance.Keep reading — free
The rest of the explanation, plus 2 worked examples you step through move by move.
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