Aftab tells his daughter

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Let the present ages of Aftab and his daughter be x year and y year respectively. Then the algebraic representation isGiven by the following equations:x – 7 = 7(y – 7){tex}\\Rightarrow{/tex} x – 7y + 42 = 0 …(1)And x + 3 = 3(y + 3){tex}\\Rightarrow{/tex}\xa0x – 3y – 6 = 0 …(2)To, represent this equation graphically, well find two solution for each equation, These solution are given below;For Equation (1) x – 7y + 42 = 0{tex}\\Rightarrow{/tex} 7y = x + 42{tex}\\Rightarrow y = \\frac{{x + 42}}{7}{/tex}Table 1 of solutions\tx07y67\tFor Equation (2) x – 3y – 6 = 0{tex}\\Rightarrow{/tex} 3y = x – 6\xa0{tex}\\Rightarrow y = \\frac{{x – 6}}{3}{/tex}Table 2 of solutions\tx06y-20\t We plot the A(0, 6) and B(7, 7)Corresponding to the solutions in table 1 on a graph paper to get the line AB representing the equation (1) and the points C(0, -2) and D(6, 0) corresponding to the solutions in table 2 on the same graph paper to get the line CD representing the equation (2), as shown in the figureWe observe in figure that the two lines representing the two equations are intersecting at the point P(42, 12).