Simultaneous Equations (HSC SSCE Mathematics Advanced): Flashcards

Collection of equations considered together at the same time

Point of intersection of the lines

Same gradient, different $y$-intercepts

Different gradients (lines intersect)

Same gradient, same intercepts (identical lines)

Makes practical sense in the problem's context

Substitute $y = 0$ and solve for $x$

Substitute $x = 0$ and solve for $y$

Where revenue equals cost; no profit or loss

$C = R$ (Cost equals Revenue)