Equations Involving Multiplication

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Year 7 Interactive Maths - Second Edition

Equations Involving Multiplication

Consider the equation

Clearly both the left-hand side and right-hand side equal 12. That is LHS = RHS

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

The left-hand side and the right-hand side both equal 6. Therefore, LHS = RHS

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.

After halving the weight in both scales, the scales remain balanced.

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:

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