Question

141
4
c) Solve the system of equations 4x - 3y=0 and 2x + 3y -18=0 graphically. Also find the area
between these two lines and x-axis
Question 3
27​

Answer 1

Answer:

Let the present age of Aftab be x And, present age of his daughter = y Seven years ago, Age of Aftab = x - 7 Age of his daughter = y - 7 According to the question, (x−7)=7(y−7) x−7=7y−49 x−7y=−42(1) Three years hence, Age of Aftab = x + 3 Age of his daughter = y + 3 According to the question, (x+3)=3(y+3) x+3=3y+9 x−3y=6(2) Therefore, the algebraic representation is x−7y=−42 x−3y=6 for x−7y=−42, x=−42+7y, The Solution table is

x −7 0 7 y 5 6 7

For x−3y=6 x=6+3y The solution table is x 6 3 0 y 0 −1 −2 The graphical representation is as follow