Solve for x
x=\frac{y+3}{4}
Solve for y
y=4x-3
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4.8x=\frac{6y+18}{5}
The equation is in standard form.
\frac{4.8x}{4.8}=\frac{6y+18}{4.8\times 5}
Divide both sides of the equation by 4.8, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{6y+18}{4.8\times 5}
Dividing by 4.8 undoes the multiplication by 4.8.
x=\frac{y+3}{4}
Divide \frac{6y+18}{5} by 4.8 by multiplying \frac{6y+18}{5} by the reciprocal of 4.8.
1.2y+3.6=4.8x
Swap sides so that all variable terms are on the left hand side.
1.2y=4.8x-3.6
Subtract 3.6 from both sides.
1.2y=\frac{24x-18}{5}
The equation is in standard form.
\frac{1.2y}{1.2}=\frac{24x-18}{1.2\times 5}
Divide both sides of the equation by 1.2, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{24x-18}{1.2\times 5}
Dividing by 1.2 undoes the multiplication by 1.2.
y=4x-3
Divide \frac{24x-18}{5} by 1.2 by multiplying \frac{24x-18}{5} by the reciprocal of 1.2.
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}