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受欢迎的代数 >

2r+3s=1,4r-s=12

解答

2 r + 3 s = 1, 4 r - s = 12

解答

r = \frac{37}{14}, s = - \frac{10}{7}

求解步骤

[2 r + 3 s = 1 4 r - s = 12]

对于

2 r + 3 s = 1

将

r

移到一边:

r = \frac{1 - 3 s}{2}

替代

r = \frac{1 - 3 s}{2}

[4 \cdot \frac{1 - 3 s}{2} - s = 12]

化简

[- 7 s + 2 = 12]

对于

- 7 s + 2 = 12

将

s

移到一边:

s = - \frac{10}{7}

对于

r = \frac{1 - 3 s}{2}

替代

s = - \frac{10}{7}

r = \frac{1 - 3 ( - \frac{10}{7} )}{2}

\frac{1 - 3 ( - \frac{10}{7} )}{2} = \frac{37}{14}

r = \frac{37}{14}

方程组的解为:

r = \frac{37}{14}, s = - \frac{10}{7}

作图

流行的例子

2x+3y+5=5,x-3y+9=0

2 x + 3 y + 5 = 5, x - 3 y + 9 = 0

2x+3y=795,3x+5y=1300

2 x + 3 y = 795, 3 x + 5 y = 1300

5x+2y=11,2x-3y=12

5 x + 2 y = 11, 2 x - 3 y = 12

2x-y=12,x-3y=11

2 x - y = 12, x - 3 y = 11

-2x-3y=7,-13x+20y=322

- 2 x - 3 y = 7, - 13 x + 20 y = 322