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受欢迎的代数 >

8x-15y=-30,2x+3y=15

解答

8 x - 15 y = - 30, 2 x + 3 y = 15

解答

x = \frac{5}{2}, y = \frac{10}{3}

求解步骤

[8 x - 15 y = - 30 2 x + 3 y = 15]

对于

8 x - 15 y = - 30

将

x

移到一边:

x = \frac{- 30 + 15 y}{8}

替代

x = \frac{- 30 + 15 y}{8}

[2 \cdot \frac{- 30 + 15 y}{8} + 3 y = 15]

化简

[\frac{- 30 + 27 y}{4} = 15]

对于

\frac{- 30 + 27 y}{4} = 15

将

y

移到一边:

y = \frac{10}{3}

对于

x = \frac{- 30 + 15 y}{8}

替代

y = \frac{10}{3}

x = \frac{- 30 + 15 \cdot \frac{10}{3}}{8}

\frac{- 30 + 15 \cdot \frac{10}{3}}{8} = \frac{5}{2}

x = \frac{5}{2}

方程组的解为:

x = \frac{5}{2}, y = \frac{10}{3}

作图

流行的例子

4m+6n=54,3m+2n=28

4 m + 6 n = 54, 3 m + 2 n = 28

x = - 25, y = - 18

-i+z^2=1,+i-z^3=2+i,z^1=1

- i + z^{2} = 1, + i - z^{3} = 2 + i, z^{1} = 1

x-y=-5,3x+2y=15

x - y = - 5, 3 x + 2 y = 15

2x+3y=10,4x-y=-1

2 x + 3 y = 10, 4 x - y = - 1