Question
Mathematics Question on permutations and combinations
Find the value of y−x from the following equation:2[x57y−3]+[3−412]=[761514]
A
(A) 7
B
(B) −7
C
(C) 6
D
(D) −6
Answer
(A) 7
Explanation
Solution
Explanation:
Given,2[x57y−3]+[3−412]=[761514]⇒[2x10142y−6]+[3−412]=[761514]⇒[2x+36152y−4]=[761514]As we know that,If two matrices A and B are equal then their corresponding elements are also equal.∴2x+3=7⇒2x=7−3⇒2x=4⇒x=2And 2y−4=14⇒2y=14+4⇒2y=18⇒y=9Now,y−x=9−2=7So, the value of y−x is 7.Hence, the correct option is (A).