Simultaneous Equations (HSC SSCE Mathematics Standard): Flashcards

Pairs of linear equations solved together for common solution

Values of $x$ and $y$ that satisfy both equations

Infinitely many solutions

Typically one solution that satisfies both

Draw both lines; find where they intersect

$m$ is gradient, $c$ is y-intercept

Express one variable in terms of other, substitute into 2nd eq

Add or subtract equations to eliminate one variable

When income equals costs

Algebraic gives exact answers, not affected by drawing accuracy