Solve for x, y, z
x=2
y=5
z=1
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y=3x-2z+1
Solve -3x+y+2z=1 for y.
-2x+3\left(3x-2z+1\right)-2z=9 3x+3\left(3x-2z+1\right)-3z=18
Substitute 3x-2z+1 for y in the second and third equation.
x=\frac{6}{7}+\frac{8}{7}z z=-\frac{5}{3}+\frac{4}{3}x
Solve these equations for x and z respectively.
z=-\frac{5}{3}+\frac{4}{3}\left(\frac{6}{7}+\frac{8}{7}z\right)
Substitute \frac{6}{7}+\frac{8}{7}z for x in the equation z=-\frac{5}{3}+\frac{4}{3}x.
z=1
Solve z=-\frac{5}{3}+\frac{4}{3}\left(\frac{6}{7}+\frac{8}{7}z\right) for z.
x=\frac{6}{7}+\frac{8}{7}\times 1
Substitute 1 for z in the equation x=\frac{6}{7}+\frac{8}{7}z.
x=2
Calculate x from x=\frac{6}{7}+\frac{8}{7}\times 1.
y=3\times 2-2+1
Substitute 2 for x and 1 for z in the equation y=3x-2z+1.
y=5
Calculate y from y=3\times 2-2+1.
x=2 y=5 z=1
The system is now solved.
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Matrix
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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
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Limits
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