Home/Algebra/Systems of equations/2×2 linear system9. Systems of equations2×2 linear systemLevel: fundamentalIn 9. Systems of equationsFormulaCopy LaTeX{a1x+b1y=c1a2x+b2y=c2\begin{cases}a_1x+b_1y=c_1\\a_2x+b_2y=c_2\end{cases}{a1x+b1y=c1a2x+b2y=c2Tagsalgebraalgebra formulasystemssystems equationsDetailTwo linear equations in two unknowns.Explore the ideaFound an error? Contact us.Related formulasRelatedMatrix formAx=bA\mathbf x=\mathbf bAx=bOpen formulaOpen in sectionRelatedCramer's rulexi=det(Ai)det(A)x_i=\frac{\det(A_i)}{\det(A)}xi=det(A)det(Ai)Open formulaOpen in section