Exercise 3.3 1.Solve the following pair of linear equations by the substitution method : Sol. (i) The given system of equations is x +3 = 14 …(1) and, x-y = 4 …(2) Substituting y = 14-x in (2), we get x – (14 -x) = 14 => x-14 x = 4=> 2x = 4 + …
Exercise 3.2 1.Form the pair of linear equations in the following problems, and find •their solution graphically. Hence, the cost of one pencil is Rs 3 and that of one pen is Rs 5.Verification: Put x = 3 and y = 5 in (1) and (2), we find that both the equations are satisfied. 2.On …
EXERCISE 3.1 1.Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be”. (Isn’t this interesting) ? Represent this situation algebraically and graphically. Sol.Let us denote the present age of daughter and her …
PAIR OF LINEAR EQUATIONSIN TWO VARIABLES 1.Two linear equations in the same two variables are called a pair of linear equations in two variables, or briefly, a linear pair. The most general form of a linear pair is a1x,+b1y +c1=0 a2x +b2y + C2 = 0 where a1, a2, b1, b2, C1, C2 are real …