Carla and benicio work in a men's clothing store. they earn commission from each suit and each pair of shows they sell. for selling 3 suits and one pair of shoes, carla has earned $47 in commission. for selling 7 suits and 2 pairs of shoes, benicio has earned $107 in commission. how much do the salespeople earn for the sale of a suit? for the sale of a pair of shoes?

The salespeople earn for the sale of a suit = $13.

The salespeople earn for the sale of a pair of shoes = $8.

Step-by-step explanation:

Let x be the commission for each suit and y be commission for each pair of shoes.

We have been given that for selling 3 suits and one pair of shoes, Carla has earned $47 in commission. We can represent this information as:

We are also told that for selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. We can represent this information as:

We will use substitution method to solve our system of linear equations. From equation (1) we will get,

Substituting this value in equation (2) we will get,

Upon combining like terms we will get,

Therefore, the salespeople earn $13 for the sale of a suit.

Let us substitute x=13 in equation (1).

Therefore, the salespeople earn $8 for the sale of a pair of shoes.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form