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受欢迎的代数 >

3x+2y=16,4x-5y=6

解答

3 x + 2 y = 16, 4 x - 5 y = 6

解答

x = 4, y = 2

求解步骤

[3 x + 2 y = 16 4 x - 5 y = 6]

对于

3 x + 2 y = 16

将

x

移到一边:

x = \frac{16 - 2 y}{3}

替代

x = \frac{16 - 2 y}{3}

[4 \cdot \frac{16 - 2 y}{3} - 5 y = 6]

化简

[\frac{64 - 23 y}{3} = 6]

对于

\frac{64 - 23 y}{3} = 6

将

y

移到一边:

y = 2

对于

x = \frac{16 - 2 y}{3}

替代

y = 2

x = \frac{16 - 2 \cdot 2}{3}

\frac{16 - 2 \cdot 2}{3} = 4

x = 4

方程组的解为:

x = 4, y = 2

作图

流行的例子

16(3x-5)=10,(4x-8)=40

16 (3 x - 5) = 10, (4 x - 8) = 40

10x+y+z=1,2x+10y+z=1,2x+y+10z=12

10 x + y + z = 1, 2 x + 10 y + z = 1, 2 x + y + 10 z = 12

5x+2y=-34,4x-3y=-41

5 x + 2 y = - 34, 4 x - 3 y = - 41

x-7-3x-2y=-12,y=5

x - 7 - 3 x - 2 y = - 12, y = 5

5(y+2)x=125y,x=7

5 (y + 2) x = 125 y, x = 7