A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?

The solution to the system of equations is x = 4 and y = 2.

Step-by-step explanation:

From statement we know that the first line is . The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:

and

(1)

(2)

The solution of the system of equations is:

,

The second line is represented by . And the resulting system of equations is:

(3)

(4)

The soltuion to the system of equations is:

,

The solution to the system of equations is x = 4 and y = 2.

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.