x+1/3=2y,2x-y=20
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x+1/3=2y,2x-y=20x+1/3=2y,2x-y=20x+1/3=2y,2x-y=20x+1/3=2y①2x-y=20②②×2得:4x-2y=40③把①代入③得:4x-(x+1/3)=404
x+1/3=2y,2x-y=20
x+1/3=2y,2x-y=20
x+1/3=2y,2x-y=20
x + 1 / 3 = 2 y ①
2 x - y = 20 ②
② × 2 得:4 x - 2 y = 40 ③
把 ① 代入 ③ 得:
4 x - (x + 1 / 3)= 40
4 x - x - 1 / 3 = 40
3 x = 40 + 1 / 3
3 x = 121 / 3
x = 121 / 9
代入 ① 得:
121 / 9 + 1 / 3 = 2 y
2 y = 124 / 9
y = 62 / 3
∴ x = 121 / 9 ,y = 62 / 9
x+1/3=2y,2x-y=20
x=2y-1/3带入2x-y=20
4y-2/3-y=20
3y=62/3
y=62/9
x=121/9
x+1/3=2y即x-2y=-1/3 ①
2x-y=20 ②
①*2-②得
-4y+y=-2/3-20
-3y=-62/3
y=62/9
代人②得
2x=20+62/9
x=10+31/9
x=121/9
即原方程组的解为
x=121/9
y=62/9
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