# 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

The path of highway number 1 is given by the equation x + y = 7 and the highway number 2 is given by the equation 5x + 2y = 20. Represent these equations geometrically

#### Solution

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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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Solve the following simultaneous equations by using graphical method :
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Draw the graphs representing the equations 4x + 3y = 24 and 3y=4x+24 on the same graph paper. Write the co-ordinates of the point of intersection of these lines
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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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#### Reference Material

Solution for concept: Graphical Method of Solution of a Pair of Linear Equations. For the course 8th-10th CBSE
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