-12u - 7v + 20u + 13v = ?

Solution

v = {-2, 1}

Step-by-step explanation:

Set the factor '(-2 + -1v)' equal to zero and attempt to solve:

Simplifying

-2 + -1v = 0

Solving

-2 + -1v = 0

Move all terms containing v to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -1v = 0 + 2

Combine like terms: -2 + 2 = 0

0 + -1v = 0 + 2

-1v = 0 + 2

Combine like terms: 0 + 2 = 2

-1v = 2

Divide each side by '-1'.

v = -2

Simplifying

v = -2

Subproblem 2

Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying

1 + -1v = 0

Solving

1 + -1v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -1v = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -1v = 0 + -1

-1v = 0 + -1

Combine like terms: 0 + -1 = -1

-1v = -1

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.