Woody's widget shop has the following information: the average widget has a salesprice of $18; raw materials for the widget are $4, and it takes 30 minutes to assemble one widget. production labor is paid $8 per hour. operating expenses are as follows: salaries, $2,500 per week; insurance, $1,200 per quarter; rent, $3,000 per month and utilities, $1,000 per month. how many widgets must be sold each month in order to break even?

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x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

x-3y=4

step-by-step e