Solve for x
x=\frac{2y}{3}+\frac{2z}{3}-1
Solve for y
y=\frac{3x}{2}-z+\frac{3}{2}
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-3x+2y+2z=3
Multiply 1 and 3 to get 3.
-3x+2z=3-2y
Subtract 2y from both sides.
-3x=3-2y-2z
Subtract 2z from both sides.
-3x=3-2z-2y
The equation is in standard form.
\frac{-3x}{-3}=\frac{3-2z-2y}{-3}
Divide both sides by -3.
x=\frac{3-2z-2y}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{2y}{3}+\frac{2z}{3}-1
Divide 3-2y-2z by -3.
-3x+2y+2z=3
Multiply 1 and 3 to get 3.
2y+2z=3+3x
Add 3x to both sides.
2y=3+3x-2z
Subtract 2z from both sides.
2y=3x-2z+3
The equation is in standard form.
\frac{2y}{2}=\frac{3x-2z+3}{2}
Divide both sides by 2.
y=\frac{3x-2z+3}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{3x}{2}-z+\frac{3}{2}
Divide 3+3x-2z by 2.
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Matrix
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Simultaneous equation
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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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