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Question
Find x, y satisfying the matrix equations
`x[[2],[1]]+y[[3],[5]]+[[-8],[-11]]=0`
Solution
Given:
`x[[2],[1]]+y[[3],[5]]+[[-8],[-11]]=0`
`⇒ [[2x + 3y -8],[x + 5y -11]]=[[0],[0]]`
⇒2x+3y−8=0
⇒2x+3y=8 ...(1)
Also,
x+5y−11=0
⇒x+5y=11
⇒x=11−5y ...(2)
Putting the value of x in (1), we get
2(11−5y)+3y=8
⇒22−10y+3y=8
⇒−7y=8−22
⇒−7y=−14
⇒y=2
Putting the value of y in (2), we get
x=11−5(2)
⇒x=11−10
⇒x=1
∴ x=1 and y=2
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