Given that a = ( − 6 7 ) and b = ( − 1 − 3 ) . If a − b = ( x y ) , work out the values of x and y .

x = -5 , y = 10

Step-by-step explanation:

As given ,

a = ( x₁ , y₁ ) = ( -6, 7)

b = ( x₂ , y₂ ) = (-1, -3)

For a -b = ( x₁ - x₂ , y₁ - y₂ )

            = ( -6 - (-1) , 7 - (-3) )

            = ( -6 + 1 , 7 + 3 )

            = ( -5 , 10 )

⇒ a - b = ( -5, 10 ) = ( x, y)

∴ we get

x = -5 , y = 10

- 70

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x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

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