# Solution - Graphical Method of Solution of a Pair of Linear Equations

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ConceptGraphical Method of Solution of a Pair of Linear Equations

#### Question

A father 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.” Represent this situation algebraically and graphically.

#### Solution

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#### Similar questions

On comparing the ratios a_1/a_2,b_1/b_2 and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.

(i) 5x – 4y + 8 = 0, 7x + 6y – 9 = 0

(ii) 9x + 3y + 12 = 0, 18x + 6y + 24 = 0

(iii) 6x – 3y + 10 = 0, 2x – y + 9 = 0

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Show graphically that the system of equations x – 4y + 14 = 0; 3x + 2y – 14 = 0 is consistent with unique solution.

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Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically

2x – 2y – 2 = 0, 4x – 4y – 5 = 0

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On comparing the ratios a_1/a_2, b_1/b_2 and c_1/c_2 , find out whether the following pair of linear equations are consistent, or inconsistent.

4/3x + 2y = 8; 2x + 3y = 12

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10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

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