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Question
If 2 `[[3 4],[5 x]]+[[1 y],[0 1]]=[[7 0],[10 5]]` find x and y.
Solution
Given:2
`[[3 4],[5 x]]+[[1 y],[0 1]]=[[7 0],[10 5]]`
`⇒ [[6 8],[10 2x]]+[[1 y],[0 1]]=[[7 0],[10 5]]`
`⇒ [[6+1 8+x],[10+0 2x+1]]=[[7 0],[10 5]]`
`⇒[[7 8+y],[10 2x+y]]=[[7 0],[10 5]]`
∴ 8+y=0
⇒y=−8
Also,
2x+1=5
⇒2x=4
⇒x=`4/2`=2
∴ x=2 and y=−8
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