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受欢迎的代数 >

3x+2y=13,2x+5y=5

解答

3 x + 2 y = 13, 2 x + 5 y = 5

解答

x = 5, y = - 1

求解步骤

[3 x + 2 y = 13 2 x + 5 y = 5]

对于

3 x + 2 y = 13

将

x

移到一边:

x = \frac{13 - 2 y}{3}

替代

x = \frac{13 - 2 y}{3}

[2 \cdot \frac{13 - 2 y}{3} + 5 y = 5]

化简

[\frac{26 + 11 y}{3} = 5]

对于

\frac{26 + 11 y}{3} = 5

将

y

移到一边:

y = - 1

对于

x = \frac{13 - 2 y}{3}

替代

y = - 1

x = \frac{13 - 2 ( - 1 )}{3}

\frac{13 - 2 ( - 1 )}{3} = 5

x = 5

方程组的解为:

x = 5, y = - 1

作图

流行的例子

2x+3y=9,4x+6y=18

2 x + 3 y = 9, 4 x + 6 y = 18

4x+5y=21,4x+8y=-8

4 x + 5 y = 21, 4 x + 8 y = - 8

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

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

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