问题 解答题

2x÷2.3=4.56

7(ⅹ-1.2)=2.1(检验)

0.7(x+0.9)=42

7x+3×1.4x=0.2×56

(x-9)÷(98-x-9)=4.

答案

(1)2x÷2.3=4.56,

2x÷2.3×2.3=4.56×2.3,

2x=10.488,

2x÷2=10.488÷2,

x=5.244;

(2)7(ⅹ-1.2)=2.1,

7x-8.4=2.1,

7x-8.4+8.4=2.1+8.4,

7x=10.5,

7x÷7=10.5÷7,

x=1.5;

检验:

把x=1.5代入原式,左边=7×(1.5-1.2)=2.1=右边.

因此x=1.5是原方程的解.

(3)0.7(x+0.9)=42,

0.7x+0.63=42,

0.7x+0.63-0.63=42-0.63,

0.7x=41.37,

0.7x÷0.7=41.37÷0.7,

x=59.1;

(4)7x+3×1.4x=0.2×56,

7x+4.2x=11.2,

(7+4.2)x=11.2,

11.2x=11.2,

11.2x÷11.2=11.2÷11.2,

x=1;

(5)(x-9)÷(98-x-9)=4,

(x-9)÷(89-x)=4,

(x-9)÷(89-x)×(89-x)=4×(89-x),

x-9=4×(89-x),

x-9+9=356-4x+9,

x=365-4x,

x+4x=365-4x+4x,

5x=365,

5x÷5=365÷5,

x=73.

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