Solve for x
x=\frac{y}{6}
Solve for y
y=6x
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4x+2y+2x=3y
Add 2x to both sides.
6x+2y=3y
Combine 4x and 2x to get 6x.
6x=3y-2y
Subtract 2y from both sides.
6x=y
Combine 3y and -2y to get y.
\frac{6x}{6}=\frac{y}{6}
Divide both sides by 6.
x=\frac{y}{6}
Dividing by 6 undoes the multiplication by 6.
4x+2y-3y=-2x
Subtract 3y from both sides.
4x-y=-2x
Combine 2y and -3y to get -y.
-y=-2x-4x
Subtract 4x from both sides.
-y=-6x
Combine -2x and -4x to get -6x.
\frac{-y}{-1}=-\frac{6x}{-1}
Divide both sides by -1.
y=-\frac{6x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=6x
Divide -6x by -1.
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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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