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Rule

# Multiplication Property of Equality

The Multiplication Property of Equality states that multiplying each side of an equation by the same number yields an equivalent equation.

If $a = b,$ then $a \times c = b \times c.$

This is one of the Properties of Equality that can be used when solving equations. To isolate the variable, the division by $4$ can be eliminated by multiplying both sides of the equation by $4,$ since multiplication is the inverse operation of division.

The Multiplication Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers.