Important Formulas on Linear Equations in Two Variables
- Linear equations in two variables are expressed in the form ax + by + c = 0, where a, b, and c are real numbers, and a and b are not both zero.
- The solution of the equation represents the values of x and x for which the equation holds true.
- if (a1/a2 ≠b1/b2) then the equation has exactly one solution. The lines are intersecting lines.
- if (a1/a2 = b1/b2 = c1/c2) then the equation has infinitely many solution. The lines are coincidental lines.
- if (a1/a2 = b1/b2 ≠c1/c2) then the equation has no solution. The lines are parallel lines.
- The slope of a line represented in the form y = mx + c is m, where m is the coefficient of x.
Practice Problem on Linear Equations in Two Variables
In this article, we will learn about one interesting topic which is covered in class 9 and class 10 mathematics. We will look at some formulas and problems of Linear equations in two variables.