Simplify (1,4)-5(1,1)

$(1, 4) - 5 (1, 1)$

Step 1

Multiply $- 5$ by $1$ .

$(1, 4) - 5 (- 5, 1)$

Step 2

Multiply $- 5$ by $1$ .

$(1, 4) - 5 (- 5, - 5)$

Step 3

Combine each component of the vectors.

$(1 - (- 5), 4 - (- 5))$

Step 4

Multiply $- 1$ by $- 5$ .

$(1 + 5, 4 - (- 5))$

Step 5

Add $1$ and $5$ .

$(6, 4 - (- 5))$

Step 6

Multiply $- 1$ by $- 5$ .

$(6, 4 + 5)$

Step 7

Add $4$ and $5$ .

$(6, 9)$

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