Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution or infinitely many solutions.

If am=bl, then find whether the pair of linear equations ax + by = c and lx + my = n has no solutions, unique solution or infinitely many solutions.

If ad \(\neq \) bc, then find whether the pairs of linear equations ax + by = p and cx + dy = q has no solution, unique solution or infinitely many solutions.

Two straight paths are represented by the lines 7x-5y=3 and 14x-10y=5. Check whether the paths cross each other.

Determine graphically, the vertices of the triangle formed by the lines y=x, 3y=x, x+y=8.

Solve the following pair of equations by elimination method.
0.4x+0.3y=1.7; 0.7x-0.2y=0.8x=2, y=3

Find the values of x and y in the given rectangle.

Is the system of linear equations 2x + 3y - 9 = 0 and 4x + 6y - 18 = 0 consistent? Justify your answer.

Use elimination method to find all possible solutions of the following pair of linear equation
2x+3y=8           (1)
4x+6y=7           (2)

Find the values of a and b for which the following system of linear equation has infinite number of solutions.(a+b)x-2by=5a+2b+1 and 3x-y=14

Draw the graph of lines x=-2 and y=3. Write the vertices of the figure formed by these lines, X-axis and Y-axis. Also, find the area of the figure.

For what value of p will the following system of equations have no solution?
(2p-1)x + (p-1)y= 2p + 1; y + 3x-1 = 0.

Solve graphically, the pair of linear equations x-y=-1 and 2x+y-10=0. Also, find the vertices of the triangle formed by these lines and X-axis.

Find the value of k, for which system of equations kx+3y=3 and 12x+ky=6 represent parallel lines.

It can take 12 h to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 h and the pipe of smaller diameter for 9 h, only half the pool can be filled. How long would it take for each pipe to fill the pool separately?

Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour, if she travels 2 km by rickshaw and the remaining distance by bus.
On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 min longer. Find the speed of rickshaw and of the bus.

ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.

Draw the graphs of the following equations:
2x - y = 1,x + 2y =13
Find the solution of the equations from the graph and shade the triangular region formed by the lines and the Y-axis.