MCQ Questions for CBSE Class 10 Math Linear Equation In Two Variables Linear Equation And Its Graphical Solution With Answers

Check the determinant and then find.

Solve using determinant and then it's equal to zero.

First draw both the lines on graph and check where they intersect.

See what could be the condition for a given system of linear equation to be inconsistent .

Just use the conditions for the consistancy of the given equation.

Lines are intersecting in the graph.

Check the ratio of the coefficients of linear equations ,for checking out consistency find the given pair of linear equations by graphical method.

3x + 15y = 300

x + 5y = 100

      x               y

      0              40

    100             0

     20              16

x + 15y = 150

      x                 y

      0               10

     60               6

     75               5

The solution for the given equations is (75, 5).

Let the no. of ₹1 coins and ₹2 coins be x and y.

Then the pair of linear equations are: \\(x+y=50\\) and \\(x+2y=75\\) solving both we get 25, ₹1 coins and 25, ₹2 coins 

A pair of equations is consistent if it has a solution. (unique solution or infinitely many solutions)