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ICSE Class X Math 2014 Solved Paper

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Question : 6
Total: 52
Find x,y if
[
−20
31
][
−1
2x
]+3[
−2
1
] =2[
y
3
]‌. ‌
Solution:  
Given
[
−20
31
][
−1
2x
]+3[
−2
1
]‌ =2[
y
3
]
[
−2×−1+0×2x
3×−1+1×2x
]+[
−6
3
]‌ =[
2y
6
]
[
2
−3+2x
]+[
−6
3
]‌ =[
2y
6
]
[
2−6
−3+2x+3
]‌=[
2y
6
]
[
−4
2x
]‌=[
2y
6
]
Comparing the cofficiant
‌2y‌=−4‌ and ‌2x=6
⇒y‌=−2‌ and ‌x=3
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