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System of Equations

★★☆☆☆Middle School

📖Definition

A set of two or more equations that must be satisfied simultaneously.

\begincases ax + by = e \\ cx + dy = f \endcases

System of two linear equations

x = (ed - bf)/(ad - bc), y = (af - ce)/(ad - bc)

Cramer's rule (ad - bc ≠ 0)

예제 1★★☆☆☆

Solve x + y = 5, x - y = 1.

예제 2★★☆☆☆

Solve 2x + 3y = 12, x - y = 1.

Force equilibrium, circuit analysis

Supply-demand equilibrium

#algebra#system#equations#fundamental