Solve for x
x=\frac{12y+9}{5}
Solve for y
y=\frac{5x}{12}-\frac{3}{4}
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12y-5x+10=1
Use the distributive property to multiply -5 by x-2.
-5x+10=1-12y
Subtract 12y from both sides.
-5x=1-12y-10
Subtract 10 from both sides.
-5x=-9-12y
Subtract 10 from 1 to get -9.
-5x=-12y-9
The equation is in standard form.
\frac{-5x}{-5}=\frac{-12y-9}{-5}
Divide both sides by -5.
x=\frac{-12y-9}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{12y+9}{5}
Divide -9-12y by -5.
12y-5x+10=1
Use the distributive property to multiply -5 by x-2.
12y+10=1+5x
Add 5x to both sides.
12y=1+5x-10
Subtract 10 from both sides.
12y=-9+5x
Subtract 10 from 1 to get -9.
12y=5x-9
The equation is in standard form.
\frac{12y}{12}=\frac{5x-9}{12}
Divide both sides by 12.
y=\frac{5x-9}{12}
Dividing by 12 undoes the multiplication by 12.
y=\frac{5x}{12}-\frac{3}{4}
Divide -9+5x by 12.
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}