Solve for x
x=2y
Solve for y
y=\frac{x}{2}
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10y+x=4y+4x
Use the distributive property to multiply 4 by y+x.
10y+x-4x=4y
Subtract 4x from both sides.
10y-3x=4y
Combine x and -4x to get -3x.
-3x=4y-10y
Subtract 10y from both sides.
-3x=-6y
Combine 4y and -10y to get -6y.
\frac{-3x}{-3}=-\frac{6y}{-3}
Divide both sides by -3.
x=-\frac{6y}{-3}
Dividing by -3 undoes the multiplication by -3.
x=2y
Divide -6y by -3.
10y+x=4y+4x
Use the distributive property to multiply 4 by y+x.
10y+x-4y=4x
Subtract 4y from both sides.
6y+x=4x
Combine 10y and -4y to get 6y.
6y=4x-x
Subtract x from both sides.
6y=3x
Combine 4x and -x to get 3x.
\frac{6y}{6}=\frac{3x}{6}
Divide both sides by 6.
y=\frac{3x}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{x}{2}
Divide 3x by 6.
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}