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受欢迎的代数 >

2x-y=12, 3/2 x+5y=4

解答

2 x - y = 12, \frac{3}{2} x + 5 y = 4

解答

x = \frac{128}{23}, y = - \frac{20}{23}

求解步骤

[2 x - y = 12 \frac{3}{2} x + 5 y = 4]

对于

2 x - y = 12

将

x

移到一边:

x = \frac{12 + y}{2}

替代

x = \frac{12 + y}{2}

[\frac{3}{2} \cdot \frac{12 + y}{2} + 5 y = 4]

化简

[\frac{36 + 23 y}{4} = 4]

对于

\frac{36 + 23 y}{4} = 4

将

y

移到一边:

y = - \frac{20}{23}

对于

x = \frac{12 + y}{2}

替代

y = - \frac{20}{23}

x = \frac{12 - \frac{20}{23}}{2}

\frac{12 - \frac{20}{23}}{2} = \frac{128}{23}

x = \frac{128}{23}

方程组的解为:

x = \frac{128}{23}, y = - \frac{20}{23}

作图

流行的例子

x+2y+z=3,2x-3y+2z=-15,3x+6y-7z=59

x + 2 y + z = 3, 2 x - 3 y + 2 z = - 15, 3 x + 6 y - 7 z = 59

19x+3y=5,2x+y=(r+1)

19 x + 3 y = 5, 2 x + y = (r + 1)

x/3+y=1,2x-2y=0

\frac{x}{3} + y = 1, 2 x - 2 y = 0

x+3y=-18,4x-y=-7

x + 3 y = - 18, 4 x - y = - 7

4x+3y=11,3x+4y=10

4 x + 3 y = 11, 3 x + 4 y = 10