Three small shipping boxes and one large shipping box hold 64 pounds. A large shipping box minus a small shipping box holds 32 pounds. When writing a system of equations to determine how many pounds each small box (x) and each
large box (y) holds, which statements are true?
A)
y + 3x = 64
y - x = 32
B)
y - 3x = 64
y + x = 32
3y - x = 64
y - x = 32
D)
(8. 40) is the solution to the system.
E)
(12, 10) is the solution to the system.

y + 3x = 64

y - 3x = 32

(8,40) is the solution to the system

(Basically A & D)

Step-by-step explanation:

1 large + 3 small = 64 y+3x=64

1 large - 1 small = 32 y-x=32

(12,10) cannot be a solution because the small box (x) holds more than the large box (y).

Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32

the answer is 48m^2!

step-by-step explanation:

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