Question

若方程2x-(7-3x)/5=4-6x与方程2mx-(3x-5)/4=2-(5x-1)/6同解,则

Answer 1

2x-(7-3x)/5=4-6x

10x-(7-3x)=20-30x

13x-7=20-30x

43x=27

x=27/43

2mx-(3x-5)/4=2-(5x-1)/6

24mx-3(3x-5)=24-2(5x-1)

24mx-9x+15=24-10x+2

24mx+x=11

(24m+1)x=11

将x=27/43代入上式

(24m+1)x=11

24m+1=11*(43/27)

24m+1=473/27

24m=446/27

m=446/27÷24

m=223/324