Solve for x
x=-\frac{17y}{5}
Solve for y
y=-\frac{5x}{17}
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0.25x=-0.85y
Subtract 0.85y from both sides. Anything subtracted from zero gives its negation.
0.25x=-\frac{17y}{20}
The equation is in standard form.
\frac{0.25x}{0.25}=-\frac{\frac{17y}{20}}{0.25}
Multiply both sides by 4.
x=-\frac{\frac{17y}{20}}{0.25}
Dividing by 0.25 undoes the multiplication by 0.25.
x=-\frac{17y}{5}
Divide -\frac{17y}{20} by 0.25 by multiplying -\frac{17y}{20} by the reciprocal of 0.25.
0.85y=-0.25x
Subtract 0.25x from both sides. Anything subtracted from zero gives its negation.
0.85y=-\frac{x}{4}
The equation is in standard form.
\frac{0.85y}{0.85}=-\frac{\frac{x}{4}}{0.85}
Divide both sides of the equation by 0.85, which is the same as multiplying both sides by the reciprocal of the fraction.
y=-\frac{\frac{x}{4}}{0.85}
Dividing by 0.85 undoes the multiplication by 0.85.
y=-\frac{5x}{17}
Divide -\frac{x}{4} by 0.85 by multiplying -\frac{x}{4} by the reciprocal of 0.85.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}