Pair of Linear Equations in Two Variables.

Question 1

General form of Pair of Linear Equations in Two Variables.

Answer 1

a1x + b1y + c1; a2x + b2y +c2

Question 2

Methods to find roots of given equations?

Answer 2

Graphical (Consistent/Inconsistent lines), Algebraic (Substitution method/Elimination method/Cross-multiplication method.)

Question 3

a1 / a2 is not equal to b1 / b2

Answer 3

Lines are consistent, intersecting lines are formed, equation will have one solution.

Question 4

a1 / a2 = b1 / b2 but not equal to c1 / c2.

Answer 4

Lines are inconsistent, parallel lines are formed, equation will have no solutions.

Question 5

a1 / a2 = b1 / b2 = c1 / c2

Answer 5

Lines are dependent and consistent, coincident lines are formed, equations have infinite solutions.