Year 7 Interactive Maths - Second Edition

Equations Involving Multiplication

If we halve the weight on both sides, then we obtain:

We notice that the statement

remains a true statement when both sides of the equation are divided by 2.

This suggests that equations behave like balances.  If the same number divides the mass in both scales of a balance, it still remains balanced.  This implies that we can divide both sides of an equation by the same number to get a new equation.

Consider the equation 2x = 14.

From the preceding discussion, we can state that:

To solve an equation, we can divide both sides of an equation by the same number.

Example 5

Solution:

Study Another Topic in Chapter 7: Equations

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