Quick 15 pts snacks at a baseball game, henry bought 3 hotdogs and a bag of chips for $14. scott bought 2 hotdogs and a bag of chips for $10. each of the boys paid the same price for their hotdogs and the same price for their chips. the following system of equations can be used to represent the situation. determine the best method to solve the system of equations. then solve the system. hint: set up an equation for henry and an equation for scott

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