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If A=[8 0 4-2 3 6] and B=[2-2 4 2-5 1] ,...

If `A=[8 0 4-2 3 6]` and `B=[2-2 4 2-5 1]` , then find the matrix `X` of order `3xx2` such that `2A+3X=5B` .

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`2A+3X=5B`
`3X=5B-2A `
`3X=5[[8,0],[4,-2],[3,6]]-2[[2,-2],[4,2],[-5,1]]`
`3X=[[8xx5,0xx5],[4xx5,-2xx5],[3xx5,6xx5]]-[[2xx2,-2xx2],[4xx2,2xx2],[-5xx2,1xx2]]`
`3X=[[40,0],[20,-10],[15,30]]-[[4,-4],[8,4],[-10,2]]`
`3X=[[40-4,0-(-4)],[20-8,-10-4],[15-(-10),30-2]]`
`X=frac{1}{3}[[36,4],[12,-14],[25,28]]`
`X=[[12,frac{4}{3}],[4,frac{-14}{3}],[frac{25}{3},frac{28}{3}]]`
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