Solve for x
x=\frac{y-2}{2}
Solve for y
y=2\left(x+1\right)
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6x-3y=-6
Swap sides so that all variable terms are on the left hand side.
6x=-6+3y
Add 3y to both sides.
6x=3y-6
The equation is in standard form.
\frac{6x}{6}=\frac{3y-6}{6}
Divide both sides by 6.
x=\frac{3y-6}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{2}-1
Divide -6+3y by 6.
6x-3y=-6
Swap sides so that all variable terms are on the left hand side.
-3y=-6-6x
Subtract 6x from both sides.
-3y=-6x-6
The equation is in standard form.
\frac{-3y}{-3}=\frac{-6x-6}{-3}
Divide both sides by -3.
y=\frac{-6x-6}{-3}
Dividing by -3 undoes the multiplication by -3.
y=2x+2
Divide -6-6x by -3.
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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.
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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