Question

已知关于x的方程2[x-(-3x+a)]=4x与(x+1)/4-6(x-a)=5/4有相同的解，求常数a的值。（初一数学题）

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Answer 1

2[x-(-3x + a)] = 4x
2(x + 3x - a) = 4x
4x - a = 2x
2x = a
x = a/2

(x + 1)/4 - 6(x - a) = 5/4
x + 1 - 24(x - a) = 5
x + 1 - 24x + 24a = 5
23x = 24a - 4
x = (24a - 4)/23

因为有相同的解
所以 a/2 = (24a - 4)/23
23a = 2(24a - 4)
23a = 48a - 8
25a = 8
a = 8/25

Answer 2

8/25=0.32