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受欢迎的代数 >

4x+6y=15,6x-8y=14

解答

4 x + 6 y = 15, 6 x - 8 y = 14

解答

x = 3, y = \frac{1}{2}

求解步骤

[4 x + 6 y = 15 6 x - 8 y = 14]

对于

4 x + 6 y = 15

将

x

移到一边:

x = \frac{15 - 6 y}{4}

替代

x = \frac{15 - 6 y}{4}

[6 \cdot \frac{15 - 6 y}{4} - 8 y = 14]

化简

[\frac{- 34 y + 45}{2} = 14]

对于

\frac{- 34 y + 45}{2} = 14

将

y

移到一边:

y = \frac{1}{2}

对于

x = \frac{15 - 6 y}{4}

替代

y = \frac{1}{2}

x = \frac{15 - 6 \cdot \frac{1}{2}}{4}

\frac{15 - 6 \cdot \frac{1}{2}}{4} = 3

x = 3

方程组的解为:

x = 3, y = \frac{1}{2}

作图

流行的例子

x+y=11,y+2= 1/8*(10y+x)*1

x + y = 11, y + 2 = \frac{1}{8} \cdot (10 y + x) \cdot 1

25x+10y=50,-6x+10y=24

25 x + 10 y = 50, - 6 x + 10 y = 24

8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18

8 x + 2 y - 4 z = 16, 4 x + 10 y + 10 z = - 6, 3 x + 8 y + 6 z = 18

2^a=3,3^b=4,4^c=5

2^{a} = 3, 3^{b} = 4, 4^{c} = 5

x+25=24x+105,x=8

x + 25 = 24 x + 105, x = 8