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Find X and Y , if 2{bmatrix} 1 & 3 0 & x {bmatrix}+{bmatrix}

Question

Find $X$ and $Y$ , if $2 [10 3 x] + [y 1 02] = [5168]$

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Find

X

and

Y

, if

2 [10 3 x] + [y 1 02] = [5168]

12 mins ago

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Text solutionVerified

2 [10 3 x] + [y 1 02] = [5168]

\Rightarrow [20 6 2 x] + [y 1 02] = [5168]

\Rightarrow [2 + y 1 6 2 x + 2] = [5168]

Comparing the corresponding elements of these two matrices, we have:

2 + y = 5

\Rightarrow y = 3

and

2 x + 2 = 8

\Rightarrow x = 3

∴ x = 3

and

y = 3

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