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Solve by Cramer's rule 2x+y=7 3x-2y=7...

Solve by Cramer's rule `2x+y=7` `3x-2y=7`

Text Solution

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`2x+y = 7` and `3x-2y = 7`
`Here, D = [[2,1],[3,-2]],D_x = [[7,1],[7,-2]], D_y = [[2,7],[3,7]]`
`:. |D| = |[2,1],[3,-2]| = -4-3 = -7`
`|D_x| = |[7,1],[7,-2]| = -14-7 = -21`
`|D_y| = |[2,7],[3,7]| = 14-21 = -7`
`:. x = |D_x|/|D| = -21/-7 = 3`
`:. y = |D_y|/|D| = -7/-7 = 1`
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