If

Obtain the values of a, b, c, x, y and z.

Given two matrices are equal.


We know that if two matrices are equal then the elements of each matrices are also equal.


x + 3 = 0


x = 0 – 3 = – 3 …… (1)


And z + 4 = 6


z = 6 – 4 = 2 …… (2)


And 2y – 7 = 3y – 2


2y – 3y = – 2 + 7


– y = 5


y = – 5 …… (3)


4x + 6 = 2x …… (4)


a – 1 = – 3


a = – 3 + 1 = – 2 …… (5)


2c + 2 = 0


2c = – 2


c = – 1 …… (6)


b – 3 = 2b + 4


b – 2b = 4 + 3


– b = 7


b = – 7 …… (7)


x = – 3, y = – 5, z = 2 and a = – 2, b = – 7, c = – 1


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