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受欢迎的代数 >

cramer 1.9v=3.2t,1.9t-2.1v=2

解答

1.9 v = 3.2 t, 1.9 t - 2.1 v = 2

解答

v = - \frac{6.4}{3.11}, t = - \frac{3.8}{3.11}

求解步骤

[1.9 v = 3.2 t 1.9 t - 2.1 v = 2]

排列方程变量以进行消除

[1.9 v - 3.2 t = 0 - 2.1 v + 1.9 t = 2]

系数矩阵

M = (1.9 - 2.1 - 3.2 1.9)

常数列:

(02)

用常数列的值替换第

v

-列的值

M_{v} = (02 - 3.2 1.9)

用常数列的值替换第

t

-列的值

M_{t} = (1.9 - 2.1 02)

D = - 3.11

D_{v} = 6.4

D_{t} = 3.8

使用克莱姆法则求解

x = \frac{D _{x}}{D}, y = \frac{D _{y}}{D}, z = \frac{D _{z}}{D}

v = \frac{D _{v}}{D} = \frac{6.4}{- 3.11}

化简

v = - \frac{6.4}{3.11}

t = \frac{D _{t}}{D} = \frac{3.8}{- 3.11}

化简

t = - \frac{3.8}{3.11}

方程组的解为:

v = - \frac{6.4}{3.11}, t = - \frac{3.8}{3.11}

作图

流行的例子

化简 sqrt(\sqrt{1800)}

s im pl i f y 1800

化简 3(1 1/3)

s im pl i f y 3 (1 \frac{1}{3})

quadraticformula (4y-3)^2=72

q u a d r a t i c f or m u l a (4 y - 3)^{2} = 72

s im pl i f y - \frac{27}{45}

solvefor x,5x=35

so l v e f or x, 5 x = 35