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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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