Solve for x
x=-\frac{3y}{2}+2
Solve for y
y=\frac{4-2x}{3}
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-2x-3y=2-6
Subtract 6 from both sides.
-2x-3y=-4
Subtract 6 from 2 to get -4.
-2x=-4+3y
Add 3y to both sides.
-2x=3y-4
The equation is in standard form.
\frac{-2x}{-2}=\frac{3y-4}{-2}
Divide both sides by -2.
x=\frac{3y-4}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{3y}{2}+2
Divide -4+3y by -2.
-2x-3y=2-6
Subtract 6 from both sides.
-2x-3y=-4
Subtract 6 from 2 to get -4.
-3y=-4+2x
Add 2x to both sides.
-3y=2x-4
The equation is in standard form.
\frac{-3y}{-3}=\frac{2x-4}{-3}
Divide both sides by -3.
y=\frac{2x-4}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{4-2x}{3}
Divide -4+2x by -3.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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