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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x − 2y = 9 and 2x + y = 7

x − 2y = 9 and 2x + y = 17

x − 2y = −9 and 2x + y = 7

x − 2y = −9 and 2x + y = 17

answer is B.

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Detailed Solution

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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