State the accounting equation and demonstrate how transactions affect assets, liabilities and equity while keeping it in balance

What this dot point is asking

SEAB wants you to state the accounting equation and to show that every transaction has a dual effect that leaves the equation in balance. This is the foundation of the whole subject: double-entry bookkeeping, the trial balance, and the statement of financial position are all just the accounting equation expressed in different ways. The central insight is that the two sides are not a coincidence to be checked at the end; they balance because each transaction is recorded twice, once for each side of its effect.

The answer

The basic equation

The resources a business controls (its assets) must be funded by someone. They are funded either by outsiders (liabilities) or by the owner (equity, also called capital). Hence:

Rearranged, equity is the owner's residual claim after liabilities are settled:

This is exactly the layout of a statement of financial position, where net assets equal equity.

The dual effect

Every transaction changes at least two items so that the equation still balances. There are four broad patterns:

Because the change always lands on both sides (or twice on one side, cancelling out), the equation can never go out of balance if the recording is correct.

The expanded equation

Equity is not static; it grows with profit and shrinks with drawings. Expanding it:

Here profit (income minus expenses) increases equity and the owner's drawings reduce it. This expanded form links the income statement (income and expenses) to the statement of financial position (capital and drawings) and explains why a profitable year with no drawings raises closing equity.

Examples in context

Example 1. Repaying a loan. A business repays \10,000$of a bank loan from cash. Cash (asset) falls by$\$10\,000$ and the loan (liability) falls by \10,000$. Both sides of the equation drop by the same amount; equity is untouched because this is neither income, expense nor drawings, just the settlement of an obligation.

Example 2. Buying on credit then paying. Purchasing inventory on credit raises assets and liabilities together. Later paying the supplier reduces cash and the payable together. Across the two events, equity never changes, illustrating that financing and settlement transactions move the two sides of the equation but do not by themselves make the owner richer or poorer.

Try this

Q1. State the accounting equation in both its basic forms. [2 marks]

• Cue. $\text{Assets} = \text{Liabilities} + \text{Equity}$, equivalently $\text{Equity} = \text{Assets} - \text{Liabilities}$.

Q2. A business buys a \20,000$machine, paying$\$5\,000$ cash and the rest on credit. Show the effect on the equation. [3 marks]

• Cue. Machine (asset) up \20,000$; cash (asset) down$\$5\,000$; payable (liability) up \15,000$. Net assets up$\$15\,000$ matched by liabilities up \15,000$; equity unchanged.

Q3. Explain why a year's profit of \25,000$with drawings of$\$9\,000$ increases closing equity by \16,000$. [3 marks]

• Cue. Profit adds \25,000$to equity and drawings remove$\$9\,000$; the net change is 25\,000 - 9\,000 = \16,000$, consistent with the expanded equation.