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ICSE Class X Math 2013 Solved Paper

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Question : 32
Total: 46
Find x and y if [
x3x
y4y
][
2
1
]=[
5
12
]
Solution:  
Given : [
x3x
y4y
][
2
1
]‌=[
5
12
]
[
2x+3x
2y+4y
]‌=[
5
12
]
[
5x
6y
]‌=[
5
12
]
∴5x‌=5
⇒x‌=1
and 6y‌=12
⇒y‌=2
Hence, x=1 and y=2
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