Solve for x
x=\frac{y-2}{2}
Solve for y
y=2\left(x+1\right)
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y-8=2x-6
Use the distributive property to multiply 2 by x-3.
2x-6=y-8
Swap sides so that all variable terms are on the left hand side.
2x=y-8+6
Add 6 to both sides.
2x=y-2
Add -8 and 6 to get -2.
\frac{2x}{2}=\frac{y-2}{2}
Divide both sides by 2.
x=\frac{y-2}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}-1
Divide y-2 by 2.
y-8=2x-6
Use the distributive property to multiply 2 by x-3.
y=2x-6+8
Add 8 to both sides.
y=2x+2
Add -6 and 8 to get 2.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}