Answer:
length and width=4
height=8
Step-by-step explanation:
Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.
Ecuation 1
Leght=Width
.L=W
Ecuation 2
To raise the second equation we consider that the length and width of 4 inches less than the height of the box
H-4=W
Ecuation 3
To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height
LxWxH=128
From ecuation 1(w=h)

solving for H

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<em>Using ecuation 2</em>
H-4=W

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4
W=4in
L=4in
to find the height we use the ecuation 2
H-4=W
H=4+W
H=4+4=8
H=8IN
21 cars, 32 motorcycles.create a system of equations using x for cars and y for motorcycles.

multiply the top equation by 2 to prepare for elimination method

subtract terms

divide both sides by negative 2 to solve for x
x =21
plug in x into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32
Answer:
x=31
y=6
Step-by-step explanation:
2x+3y=80
x+y=37
solve by elimination:( multiply second equation by 2) to eliminate x
2x+3y=80
2x+2y=74
subtract the two equations:
2x+3y-(3x+2y)=80-74
2x+3y-3x-2y=6
y=6 (3 point basket)
substitute: x+y=37, x=37-6=31
x=31 (2 point shot)