An auto charges 15 for first kilometer and 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ‘y’ is paid.
Write the linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is 55? How much would have to be paid for 7 kilometers?

Draw the graphs of the following simultaneous linear equations and find the point of intersection of each pair : (i) x=0 and 2x+3y=15

(i) Draw the graph of following equations. (a) x = 2 (b) x = –2 (c) x = 4 (d) x = –4 (ii) Are the graphs of all these equations parallel to Y-axis? (iii) Find the distance between the graph and the Y-axis in each case

Solve each pair of the following simultaneous linear equations by drawing graphs of these equations which have only one solution. Also find three sets of solutions of those pair of equations which have infinitely many solutions : 4x+3y=20, 8x+6y=40

Solve each pair of the following simultaneous linear equations by drawing graphs of these equations which have only one solution. Also find three sets of solutions of those pair of equations which have infinitely many solutions : x-y=3, x/3+y/2=6

Solve each pair of the following simultaneous linear equations by drawing graphs of these equations which have only one solution. Also find three sets of solutions of those pair of equations which have infinitely many solutions : x-y=3, x/5-y/5=3

Determine whether each pair of the following equations are solvable or not by finding the relations among the ratios of the co-efficients of the same variable and the constant terms of each pair. Also write whether the graphs of the equations of each pair are parallel or intersecting of coinciding or not: (i) 5x+3y=11, 2x-7y=-12, (ii) 6x-8y=2, 3x-4y=1, (iii) 8x-7y=0, 8x-7y=56,