Find x and y if : (i) (ii)

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(i) Given, By equality of matrices we get, 12 + 2y = 10 ⇒ 2y = 10 - 12 ⇒ 2y = -2 ⇒ y = -1. 3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 2 Hence, x = 2 and y = -1. (ii) Given, By definition of equality of matrices we get, -x + 8 = 7 ........(i) 2x - 4y = -8 ......(ii) Solving eq. (i) we get, ⇒ x = 8 - 7 = 1. Substituting x = 1 in eq. (ii) we get, ⇒ 2x - 4y = -8 ⇒ 2(1) - 4y = -8 ⇒ 2 - 4y = -8 ⇒ 4y = 2 + 8 ⇒ 4y = 10 ⇒ y = . Hence, x = 1 and y = 2.5

Mathematics

Find x and y if : (i) (ii)

Matrices

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