Elle ordered some large pizzas and some medium pizzas for a party. in all, she ordered 18 pizzas. large pizzas cost $14, and medium pizzas cost $10. in all, she spent $204. determine if each equation is a part of the system of equations that can be used to find the number of each type of pizza that was ordered. the variable x represents the number of large pizzas, and y represents the number of medium pizzas.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is