Question

50 POINTS+BRAINLIEST:8th grade systems of equations word problem-explain steps with simple language, answers for the sake of points will get reported :))

Answer 1

Answer:

one paperback = 0.6 pounds

one textbook = 3.6 pounds

Explanation:

Let the mass of one paperback be 'p' and one textbook be 't'.

Equation one:

sum of mass = total mass in box

• 20p + 9t = 44.4

Equation two:

• 20p + 5p + 9t + 1t = 51

• 25p + 10t = 51

make 't' subject

• 10t = 51 - 25p

• t = 5.1 - 2.5p

Insert this into equation one:

20p + 9(5.1 - 2.5p) = 44.4

20p + 45.9 - 22.5p = 44.4

20p - 22.5p = 44.4 - 45.9

-2.5p = -1.5

p = 0.6

The weight of 1 paperback is 0.6 pounds.

The weight of 1 textbook:

t = 5.1 - 2.5p

t = 5.1 - 2.5(0.6)

t = 3.6

The weight of 1 textbook is 3.6 pounds.

Answer 2

The weight of the textbook is 3.6 pounds