R
Rishtaara
Algebra & Precalculus
Lesson 10 of 12Article16 min

Nonlinear Systems & Matrix Preview

Substitute or eliminate to solve systems mixing lines and conics. Graphically: find intersection points; algebraically: reduce to a single-variable equation.

Intersecting curves

Substitute or eliminate to solve systems mixing lines and conics. Graphically: find intersection points; algebraically: reduce to a single-variable equation.

  • Line + parabola → quadratic in one variable.
  • Check all candidate pairs in both originals.
  • 2×2 linear systems: write as AX = B — preview of linear algebra.