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Q.

Each equal side of an isosceles triangle is 9 cm less than twice the unequal side. The perimeter of the triangle is 17 cm. Express this situation mathematically in pair of linear equations in two variables. 

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a

x − 2y = 9 and 2x + y = 7 

b

x − 2y = 9 and 2x + y = 17 

c

x − 2y = −9 and 2x + y = 7 

d

x − 2y = −9 and 2x + y = 17 

answer is B.

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Detailed Solution

detailed_solution_thumbnail

 Let the length of equal side be x and unequal side be y. 

∴ x = 2y − 9 

⇒ x − 2y = −9 ... (1) 

Perimeter of the triangle is given as 17 cm. 

∴x + x + y = 17 

⇒ 2x + y = 17 ... (2) 

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