GENERAL MATHS TOPIC 1 Flashcards
GR 12 MATHEMATICS B U4
LINEAR EQUATIONS AND INEQUALITIES
Consider the two equations:
x- 6 = 3 and x= 9
Both equations have 9 as a solution
and both can be solved by inspection. However
easier to recognize 9 as a solution to the second equation. Two equations which have exactly
the same solution are called equivalent equations.
We apply the following properties of equality to solve linear equations in one variable.
Addition - Subtraction Property
If the same number or expression is added to or subtracted from both
sides of an equation
the resulting equation is equivalent (or has the same
solutions as) to the original.
Multiplication-Division Property
If each side of an equation is multiplied or divided by the same non-zero
number or expression
the resulting equation is equivalent (or has the