×

Learnhive Sign Up


By clicking on the above button you confirm that you are at least 13 years old and agree to our Terms of Service & Privacy Policy.
Already have a Learnhive account?
×

Mathematics / Simultaneous Equations

Mathematics / Simultaneous Equations

A linear equation is an algebraic equation that contains terms which can either be constants or variables. The variables can only be of the first power.

A linear equation in two variables is of the form ax + by + c = 0, where x and y are variables and a, b and c are real numbers. Additionally a and b are non zero.

The graph of a linear equation in two variables plotted on a Cartesian plane is a straight line.

Given a pair of linear equations, they can be plotted as two lines in the Cartesian plane.

  • If the two lines intersect, the pair of equations is said to be consistent. Solving the two equations simultaneously yields a unique value for each of the two variables. These values represent the co-ordinates of the point of intersection.
  • If the two lines are parallel, the equations are inconsistent and there is no solution.
  • If the two lines are coincident, then there are infinite solutions since every point on these lines is a point of intersection and as we know the line extends infinitely.

Exercises
Lessons
Topics
Exercises
Lessons
Topics
  • Simultaneous Linear Equations in Two Variables

    • Questions: 100
    • Simultaneous Equations
    • Simultaneous Linear Equations in Two Variables - Graphical Method
    • Simultaneous Linear Equations in Two Variables - Algebraic Method
  • Simultaneous Equations - Practical Applicatio

    Pair of Linear Equations - Algebraic Method

×

×

×

Learnhive Login

Some message