# 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

Half the perimeter of a garden, whose length is 4 more than its width is 36m. Find the dimensions of the garden

#### Solution

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Solve the following system of linear equations graphically; 3x + y – 11 = 0 ; x – y – 1 = 0 Shade the region bounded by these lines and also y-axis. Then, determine the areas of the region bounded by these lines and y-axis.

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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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Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden

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Show graphically that the system of equations 2x + 5y = 16; 3x+\frac { 15 }{ 2 }=24  has infinitely many solutions.

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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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#### 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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