Solving Linear Equations (Grade 10 NSC Matric Mathematics): Flashcards

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Solving Linear Equations
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Linear equation definition

Equation where highest power of variable is 1

Solving an equation means

Finding value of variable that makes equation true

Solution (or root) of equation

Value of variable that satisfies the equation

Max solutions for linear equation

At most one solution

Golden rule of equations

Must be balanced - same operation on both sides

Six steps to solve linear equation

Expand, rearrange, group, factorise, solve, check

Solving equations with fractions technique

Multiply through by common denominator first

Restrictions in equations

Values that make denominators zero

How to check solution

Substitute back into original equation

When solution is correct

LHS equals RHS after substitution

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