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Pair of Liner Equation in Two Variable

Draw the graph of the pair of equations 2x +  y = 4 and 2x – y = 4. Write  the vertices of the triangle formed by these lines and the y-axis. Also find the area of this triangle.

Pair of Liner Equation in Two Variable

Find the values of x and y in the following rectangle

Pair of Liner Equation in Two Variable

If 2x + y = 23 and 4x – y = 19, find the values of 5y – 2x and y/x -2 

Pair of Liner Equation in Two Variable

Write a pair of linear equations which has the unique solution x = – 1, y =3. How many such pairs can you write?

Pair of Liner Equation in Two Variable

Two straight paths are represented by the equations x – 3y = 2 and –2x + 6y = 5. Check whether the paths cross each other or not.

Pair of Liner Equation in Two Variable

Two straight paths are represented by the equations x – 3y = 2 and –2x + 6y = 5. Check whether the paths cross each other or not.

Pair of Liner Equation in Two Variable

 For  which  values  of  a  and  b,  will  the  following  pair  of  linear  equations  have infinitely many solutions?

x + 2y = 1

(a – b)x + (a + b)y = a + b – 2

Pair of Liner Equation in Two Variable

For which value(s) of k will the pair of equations

kx + 3y = k – 3

12x + ky = k

have no solution?

Pair of Liner Equation in Two Variable

For which value(s) of λ , do the pair of linear equations

 λx + y = λ²  and x +  λy = 1    have

(i) no solution?

(ii) infinitely many solutions?

(iii) a unique solution?

Pair of Liner Equation in Two Variable

Draw the graphs of the pair of linear equations x – y + 2 = 0 and 4x – y – 4 = 0. Calculate the area of the triangle formed by the lines so drawn and the x-axis.