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|{:(3,1),(y,x):}|=7 and |{:(4,-x),(1,y):...

`|{:(3,1),(y,x):}|=7` and `|{:(4,-x),(1,y):}|=11` . From the given determinants form two simultaneous equations and solve them.

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Knowledge Check

  • Solve the simultaneous equations: 2x-3y = 11 and 5x + 4y =16

    A
    `x = 5, y = -(1)/(3)`
    B
    `x= 2, y =(2)/(3)`
    C
    x=-1, y = 4
    D
    `x = 4, y = -1`

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