Solve for x
x=-\frac{y}{4}-\frac{930952381z}{1638095200}+\frac{500000000}{2047619}
Solve for y
y=-\frac{930952381z}{409523800}-4x+\frac{2000000000}{2047619}
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16.380952x+4.095238y+9.30952381z=4000
Multiply 4.095238 and 4 to get 16.380952.
16.380952x+9.30952381z=4000-4.095238y
Subtract 4.095238y from both sides.
16.380952x=4000-4.095238y-9.30952381z
Subtract 9.30952381z from both sides.
16.380952x=-\frac{2047619y}{500000}-\frac{930952381z}{100000000}+4000
The equation is in standard form.
\frac{16.380952x}{16.380952}=\frac{-\frac{2047619y}{500000}-\frac{930952381z}{100000000}+4000}{16.380952}
Divide both sides of the equation by 16.380952, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{-\frac{2047619y}{500000}-\frac{930952381z}{100000000}+4000}{16.380952}
Dividing by 16.380952 undoes the multiplication by 16.380952.
x=-\frac{y}{4}-\frac{930952381z}{1638095200}+\frac{500000000}{2047619}
Divide 4000-\frac{2047619y}{500000}-\frac{930952381z}{100000000} by 16.380952 by multiplying 4000-\frac{2047619y}{500000}-\frac{930952381z}{100000000} by the reciprocal of 16.380952.
16.380952x+4.095238y+9.30952381z=4000
Multiply 4.095238 and 4 to get 16.380952.
4.095238y+9.30952381z=4000-16.380952x
Subtract 16.380952x from both sides.
4.095238y=4000-16.380952x-9.30952381z
Subtract 9.30952381z from both sides.
4.095238y=-\frac{2047619x}{125000}-\frac{930952381z}{100000000}+4000
The equation is in standard form.
\frac{4.095238y}{4.095238}=\frac{-\frac{2047619x}{125000}-\frac{930952381z}{100000000}+4000}{4.095238}
Divide both sides of the equation by 4.095238, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{-\frac{2047619x}{125000}-\frac{930952381z}{100000000}+4000}{4.095238}
Dividing by 4.095238 undoes the multiplication by 4.095238.
y=-\frac{930952381z}{409523800}-4x+\frac{2000000000}{2047619}
Divide 4000-\frac{2047619x}{125000}-\frac{930952381z}{100000000} by 4.095238 by multiplying 4000-\frac{2047619x}{125000}-\frac{930952381z}{100000000} by the reciprocal of 4.095238.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}