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受欢迎的代数 >

2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3

解答

2 (x + 1) + 3 (y + 1) = 15, 3 (x + 1) - 2 (y + 1) = 3

解答

x = 2, y = 2

求解步骤

[2 (x + 1) + 3 (y + 1) = 15 3 (x + 1) - 2 (y + 1) = 3]

对于

2 (x + 1) + 3 (y + 1) = 15

将

x

移到一边:

x = \frac{- 3 y + 12}{2} - 1

替代

x = \frac{- 3 y + 12}{2} - 1

[3 (\frac{- 3 y + 12}{2} - 1 + 1) - 2 (y + 1) = 3]

化简

[\frac{- 13 y + 36}{2} - 2 = 3]

对于

\frac{- 13 y + 36}{2} - 2 = 3

将

y

移到一边:

y = 2

对于

x = \frac{- 3 y + 12}{2} - 1

替代

y = 2

x = \frac{- 3 \cdot 2 + 12}{2} - 1

\frac{- 3 \cdot 2 + 12}{2} - 1 = 2

x = 2

方程组的解为:

x = 2, y = 2

作图

流行的例子

5x+3y-11z=13,4x-5y+4z=18,9x-2y-7z=25

5 x + 3 y - 11 z = 13, 4 x - 5 y + 4 z = 18, 9 x - 2 y - 7 z = 25

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

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

x = 2 - y, 2 x - 9 = 3 y

10x-8y=-30,5x-2y=-5

10 x - 8 y = - 30, 5 x - 2 y = - 5

x+2y-4=3,x+y-7=0

x + 2 y - 4 = 3, x + y - 7 = 0