Solve for x, y, z
x = \frac{5}{2} = 2\frac{1}{2} = 2.5
y = \frac{11}{2} = 5\frac{1}{2} = 5.5
z = \frac{7}{2} = 3\frac{1}{2} = 3.5
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x=-y+8
Solve x+y=8 for x.
-y+8+z=6
Substitute -y+8 for x in the equation x+z=6.
y=-z+9 z=y-2
Solve the second equation for y and the third equation for z.
z=-z+9-2
Substitute -z+9 for y in the equation z=y-2.
z=\frac{7}{2}
Solve z=-z+9-2 for z.
y=-\frac{7}{2}+9
Substitute \frac{7}{2} for z in the equation y=-z+9.
y=\frac{11}{2}
Calculate y from y=-\frac{7}{2}+9.
x=-\frac{11}{2}+8
Substitute \frac{11}{2} for y in the equation x=-y+8.
x=\frac{5}{2}
Calculate x from x=-\frac{11}{2}+8.
x=\frac{5}{2} y=\frac{11}{2} z=\frac{7}{2}
The system is now solved.
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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