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受欢迎的代数 >

3x+4y=84,5x+3y=96

解答

3 x + 4 y = 84, 5 x + 3 y = 96

解答

x = 12, y = 12

求解步骤

[3 x + 4 y = 84 5 x + 3 y = 96]

对于

3 x + 4 y = 84

将

x

移到一边:

x = \frac{84 - 4 y}{3}

替代

x = \frac{84 - 4 y}{3}

[5 \cdot \frac{84 - 4 y}{3} + 3 y = 96]

化简

[\frac{420 - 11 y}{3} = 96]

对于

\frac{420 - 11 y}{3} = 96

将

y

移到一边:

y = 12

对于

x = \frac{84 - 4 y}{3}

替代

y = 12

x = \frac{84 - 4 \cdot 12}{3}

\frac{84 - 4 \cdot 12}{3} = 12

x = 12

方程组的解为:

x = 12, y = 12

作图

流行的例子

2x+3y=-8,3x-y=-10

2 x + 3 y = - 8, 3 x - y = - 10

2u+5v+1=0,u-2v+9=0

2 u + 5 v + 1 = 0, u - 2 v + 9 = 0

35x-30y+12=0,30x+35y-10=0

35 x - 30 y + 12 = 0, 30 x + 35 y - 10 = 0

3x-4y+24=0,x+y-13=0

3 x - 4 y + 24 = 0, x + y - 13 = 0

2 x - y = 4, x + y = 5