CBSE Class 12 Math 2008 Solved Paper

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Question : 3
Total: 29
Find the value of x and y if: 2 [
13
0x
]
+ [
y0
12
]
= [
56
18
]
Solution:  
2 [
13
0x
]
+ [
y0
12
]
= [
56
18
]

[
26
02x
]
+ [
y0
12
]
= [
56
18
]

[
2+y6+0
0+12x+2
]
= [
56
18
]

[
2+y6
12(x+1)
]
= [
56
18
]

On comparing the corresponding elements of the matrices on both sides, we get:
2 + y = 5 ⇒ y = 3
2(x + 1) = 8 ⇒ x = 3
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