The system of equation to represent the situation is
x + y = 179
2/3x + 3/4y = 128
let,
weight of first paperbacks, x = 2/3 pounds
weight of second paperbacks, y = 3/4 pounds
x + y = 179 (1)
2/3x + 3/4y = 128 (2)
3x + 3y = 537
-4(2/3x) + -4(3/4y) = -512
3x + 3y = 537
-8/3x - 3y = -512
3x + (-8/3x) = 537 + (-512)
3x - 8/3x = 537 - 512
(9-8)/3x = 25
1/3x = 25
x = 25 ÷ 1/3
x = 25 × 3
x = 75
x + y = 179
75 + y = 179
y = 179 - 75
y = 104
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