In a cage full of bugs, there are beetles (6 legs) and spiders (8legs). you count 30 bugs and 192 legs. how many spiders and beetles are there?

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

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