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受欢迎的代数 >

5x+3y=21,x+2y=12

解答

5 x + 3 y = 21, x + 2 y = 12

解答

x = \frac{6}{7}, y = \frac{39}{7}

求解步骤

[5 x + 3 y = 21 x + 2 y = 12]

对于

5 x + 3 y = 21

将

x

移到一边:

x = \frac{21 - 3 y}{5}

替代

x = \frac{21 - 3 y}{5}

[\frac{21 - 3 y}{5} + 2 y = 12]

化简

[\frac{21 + 7 y}{5} = 12]

对于

\frac{21 + 7 y}{5} = 12

将

y

移到一边:

y = \frac{39}{7}

对于

x = \frac{21 - 3 y}{5}

替代

y = \frac{39}{7}

x = \frac{21 - 3 \cdot \frac{39}{7}}{5}

\frac{21 - 3 \cdot \frac{39}{7}}{5} = \frac{6}{7}

x = \frac{6}{7}

方程组的解为:

x = \frac{6}{7}, y = \frac{39}{7}

作图

流行的例子

2 x/a+y/b =2, x/a-y/b =4

2 \frac{x}{a} + \frac{y}{b} = 2, \frac{x}{a} - \frac{y}{b} = 4

5 x + y = 4, x = 2 y + 3

((x+3))/2-((y-1))/3 =1,((x+y))/5 =1

\frac{( x + 3 )}{2} - \frac{( y - 1 )}{3} = 1, \frac{( x + y )}{5} = 1

f(y,x,h)y=2,3x-53hy=-1,4x+23jy=23x-113

f (y, x, h) y = 2, 3 x - 53 h y = - 1, 4 x + 23 j y = 23 x - 113

2x+2y=1,3-x+4y=6

2 x + 2 y = 1, 3 - x + 4 y = 6