Solve for x
x=-\frac{1}{y+1}
y\neq -1
Solve for y
y=-1-\frac{1}{x}
x\neq 0
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yx+x+1=0
Use the distributive property to multiply y+1 by x.
yx+x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
\left(y+1\right)x=-1
Combine all terms containing x.
\frac{\left(y+1\right)x}{y+1}=-\frac{1}{y+1}
Divide both sides by y+1.
x=-\frac{1}{y+1}
Dividing by y+1 undoes the multiplication by y+1.
yx+x+1=0
Use the distributive property to multiply y+1 by x.
yx+1=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
yx=-x-1
Subtract 1 from both sides.
xy=-x-1
The equation is in standard form.
\frac{xy}{x}=\frac{-x-1}{x}
Divide both sides by x.
y=\frac{-x-1}{x}
Dividing by x undoes the multiplication by x.
y=-1-\frac{1}{x}
Divide -x-1 by x.
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\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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