Solve for x
x=\frac{3y}{2}-2
Solve for y
y=\frac{2\left(x+2\right)}{3}
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-4x=8-6y
Subtract 6y from both sides.
\frac{-4x}{-4}=\frac{8-6y}{-4}
Divide both sides by -4.
x=\frac{8-6y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{3y}{2}-2
Divide 8-6y by -4.
6y=8+4x
Add 4x to both sides.
6y=4x+8
The equation is in standard form.
\frac{6y}{6}=\frac{4x+8}{6}
Divide both sides by 6.
y=\frac{4x+8}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{2x+4}{3}
Divide 8+4x by 6.
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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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\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}