Resolver {c}{x+3y-4z+t=-4}{5z-t=117}{2y+7z+3t=19}{3z+4t=1} | Microsoften solucionagailu matematikoa

\left\{ \begin{array} { c } { x + 3 y - 4 z + t = - 4 } \\ { 5 z - t = 117 } \\ { 2 y + 7 z + 3 t = 19 } \\ { 3 z + 4 t = 1 } \end{array} \right.

Ebatzi: x, y, z, t

x = \frac{4842}{23} = 210\frac{12}{23} \approx 210.52173913

y = -\frac{904}{23} = -39\frac{7}{23} \approx -39.304347826

z = \frac{469}{23} = 20\frac{9}{23} \approx 20.391304348

t = -\frac{346}{23} = -15\frac{1}{23} \approx -15.043478261

Azterketa

\left\{ \begin{array} { c } { x + 3 y - 4 z + t = - 4 } \\ { 5 z - t = 117 } \\ { 2 y + 7 z + 3 t = 19 } \\ { 3 z + 4 t = 1 } \end{array} \right.

Bilaketaren antzeko arazoak webgunean

Solve for x in \displaystyle{\left|\begin{array}{ccc} {3}+{x}&{5}&{2}\\{11}-{3}{x}&{17}&{16}\\{7}-{x}&{14}&{13}\end{array}\right|}={0} ?

https://socratic.org/questions/solve-for-x-in-3-x-5-2-11-3x-17-16-7-x-14-13

\displaystyle{x}=\frac{{47}}{{31}} Explanation: Here , \displaystyle{\left|\begin{array}{ccc} {3}+{x}&{5}&{2}\\{11}-{3}{x}&{17}&{16}\\{7}-{x}&{14}&{13}\end{array}\right|}={0} Taking \displaystyle{R}_{{2}}+{3}{R}_{{1}}{\quad\text{and}\quad}{R}_{{3}}+{R}_{{1}} ...

Find the Basis and Dimension of a Solution Space for homogeneous systems

https://math.stackexchange.com/questions/940856/find-the-basis-and-dimension-of-a-solution-space-for-homogeneous-systems

First solve the system, assigning parameters to the variables which correspond to non-leading (non-pivot) columns: \eqalign{ &t=\alpha\cr &s=\beta\cr z+s-t=0\quad\Rightarrow\quad &z=\alpha-\beta\cr &y=\gamma\cr x+2y+4s-3t=0\quad\Rightarrow\quad &x=3\alpha-4\beta-2\gamma\ .\cr} ...

Is this method to solve a system of equations in modular arithmetic correct?

https://math.stackexchange.com/q/2664025

All your steps are correct. You could have solved the system by elimination with less efforts. For example \left\{ \begin{array}{cc} \bar 3x + \bar2y &= \bar1 \\ \bar 5x + \bar1y &= \bar4 \end{array} \right. ...

Solve a system of two congruences with modules not pairwise coprime

https://math.stackexchange.com/questions/2187100/solve-a-system-of-two-congruences-with-modules-not-pairwise-coprime

x \equiv 225 \pmod {250} so x=25(9+10j) for some j \in \mathbb{Z} . x \equiv 150 \pmod {1225} so x=25(6+49k) for some k \in \mathbb{Z} . So we need to find y satisfying \begin{eqnarray*} ...

Decide whether f(x) is diff on (-1,1) and integrable on [-1,1]

https://math.stackexchange.com/questions/2056349/decide-whether-fx-is-diff-on-1-1-and-integrable-on-1-1

neither f_1 nor f_2 is differentiable on (-1,1) since they are discontinuous at x=0. f_1 is integrable on [-1,1] since it has exactly one discontinuity. f_2 is not integrable, all the ...

Is this a system of linear equations in five variables? [closed]

https://math.stackexchange.com/questions/2458622/is-this-a-system-of-linear-equations-in-five-variables

YES! If you consider x_6 and x_7 as parameters and not as unknowns, then the system in your question is a perfectly fine system of linear equations in x_1,\ldots,x_5. Gaußian elimination shows ...

Partekatu

Kopiatu portapapeletan

Adibideak

Ekuazio koadratikoa

{ x } ^ { 2 } - 4 x - 5 = 0

Trigonometria

4 \sin \theta \cos \theta = 2 \sin \theta

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]

Aldibereko ekuazioa

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

Diferentziazioa

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

Integrazioa

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

Mugak

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

Gaiak

Gaiak

Bilaketaren antzeko arazoak webgunean

Partekatu

Adibideak