Express the following statements in the form of a linear equations of two variables and draw the graph of them : (i) The sum of two numbers is 15.

Express the following statements in the form of a linear equations of two variables and draw the graph of them : (ii) If 2 is added to both the numerator and denominator of a fraction, the value of the fraction becomes 7/9 .

Express the following statements in the form of linear equations of two variables and draw the graphs of each of the equations : (i) The product of two numbers is 10.

Express the following statements in the form of linear equations of two variables and draw the graphs of each of the equations : (ii) The perimeter of a rectangular garden is 200 m.

Express the following statements in the form of linear equations of two variables and draw the graphs of each of the equations : (iii) At present, the age of Debleena's father is 42 year more than that of Debleena.

Express the following statements in the form of linear equations of two variables and draw the graphs of each of the equations : (iv) If 2 added to both the numerator and denominator of a fraction it becomes (4)/(5) .

Express the following statements in the form of simultaneous linear equations and solve them by drawing graphs : (i) The sum of two numbers is 12 and their difference is 4. Find the numbers.

Express the following statements in the form of two simultaneous linear equations in two variables and determine whether these equations are solvable or not by the method of finding the relations among the ratios of the co-efficients of the same variables and the constant terms : The sum of the present ages of your elder sister and your father is 84 years. After 8 years, your father's age will be 2""1/3 times of your elder sister.

Express the following statements in the form of two simultaneous linear equations in two variables and determine whether these equations are solvable or not by the method of finding the relations among the ratios of the co-efficients of the same variables and the constant terms : Debsmita bought 3 pens and 4 pencils for Rs. 42. Her friend Nayana also bought 9 pens and a dozen of pencils for Rs. 126.

Express the following statements as a linear equation in two variables. The sum of two numbers is 34.