Solve for x
x=\frac{5y}{8}-\frac{1}{2}
Solve for y
y=\frac{8x+4}{5}
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4\left(2x+1\right)=5y
Multiply both sides of the equation by 20, the least common multiple of 5,4.
8x+4=5y
Use the distributive property to multiply 4 by 2x+1.
8x=5y-4
Subtract 4 from both sides.
\frac{8x}{8}=\frac{5y-4}{8}
Divide both sides by 8.
x=\frac{5y-4}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{5y}{8}-\frac{1}{2}
Divide 5y-4 by 8.
4\left(2x+1\right)=5y
Multiply both sides of the equation by 20, the least common multiple of 5,4.
8x+4=5y
Use the distributive property to multiply 4 by 2x+1.
5y=8x+4
Swap sides so that all variable terms are on the left hand side.
\frac{5y}{5}=\frac{8x+4}{5}
Divide both sides by 5.
y=\frac{8x+4}{5}
Dividing by 5 undoes the multiplication by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}