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受欢迎的代数 >

2x+5y=60,3x-2y=14

解答

2 x + 5 y = 60, 3 x - 2 y = 14

解答

x = 10, y = 8

求解步骤

[2 x + 5 y = 60 3 x - 2 y = 14]

对于

2 x + 5 y = 60

将

x

移到一边:

x = \frac{60 - 5 y}{2}

替代

x = \frac{60 - 5 y}{2}

[3 \cdot \frac{60 - 5 y}{2} - 2 y = 14]

化简

[\frac{180 - 19 y}{2} = 14]

对于

\frac{180 - 19 y}{2} = 14

将

y

移到一边:

y = 8

对于

x = \frac{60 - 5 y}{2}

替代

y = 8

x = \frac{60 - 5 \cdot 8}{2}

\frac{60 - 5 \cdot 8}{2} = 10

x = 10

方程组的解为:

x = 10, y = 8

作图

流行的例子

7x+3y=37,7x+y=31

7 x + 3 y = 37, 7 x + y = 31

4x-x=2,x-54x-x=2x-5

4 x - x = 2, x - 54 x - x = 2 x - 5

5a-2b=11,3a+b=11

5 a - 2 b = 11, 3 a + b = 11

3x-2y=9, x/3-y/6 = 5/6

3 x - 2 y = 9, \frac{x}{3} - \frac{y}{6} = \frac{5}{6}

2 x - y = 12, 3 x + y = 3