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Question
Find x, y, z and t, if
`2[[x 5],[z t]]+[[x 6],[-1 2t]]=[[7 14],[15 14]]`
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Solution
`2[[x 5],[7 y-3]]+[[3 4],[1 2]]=[[7 14],[15 14]]`
`⇒ [[2x 10],[14 2y-6]]+[[3 4],[1 2]]=[[7 14],[15 14]]`
`⇒[[2x+3 10+4],[14+1 2y-6+2]]=[[7 14],[15 14]]`
`⇒ [[2x+3 14],[15 2y-4]]=[[7 14],[15 14]]`
∴ 2x+3=7
⇒2x=4
⇒ x = 2
Also,
2y−4=14
⇒2y=18
⇒y=9
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