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受欢迎的代数 >

x=7-3y,x^2-y^2=39

解答

x = 7 - 3 y, x^{2} - y^{2} = 39

解答

(x = \frac{25}{4}, x = - 8, y = \frac{1}{4} y = 5)

求解步骤

[x = 7 - 3 y x^{2} - y^{2} = 39]

对于

x = 7 - 3 y

将

y

移到一边:

y = - \frac{x - 7}{3}

将解

y = - \frac{x - 7}{3}

代入

x^{2} - y^{2} = 39

对于

x^{2} - y^{2} = 39

，用

- \frac{x - 7}{3}

替代

y : x = \frac{25}{4}, x = - 8

将解

x = \frac{25}{4}, x = - 8

代入

x = 7 - 3 y

对于

x = 7 - 3 y

，用

\frac{25}{4}

替代

x : y = \frac{1}{4}

对于

x = 7 - 3 y

，用

- 8

替代

x : y = 5

将解代入原方程进行验证

因而，

x = 7 - 3 y, x^{2} - y^{2} = 39

最后的解是

(x = \frac{25}{4}, x = - 8, y = \frac{1}{4} y = 5)

作图

流行的例子

2x-3y=7,(a+b)x-(a+b-3)y=4a+b

2 x - 3 y = 7, (a + b) x - (a + b - 3) y = 4 a + b

3a+2=3,b+4=3c+5

3 a + 2 = 3, b + 4 = 3 c + 5

1/x+4/y = 2/7 , 4/3 x+1/2 y=-8/5

\frac{1}{x} + \frac{4}{y} = \frac{2}{7}, \frac{4}{3} x + \frac{1}{2} y = - \frac{8}{5}

f(x)(x)^1(x)=1,+xf(x)(x)^2(x)=x^2

f (x) (x)^{1} (x) = 1, + x f (x) (x)^{2} (x) = x^{2}

x+3y=13,x^2+3y^2=43

x + 3 y = 13, x^{2} + 3 y^{2} = 43