Solve for a
a=\frac{63+y-3x}{2}
Solve for x
x=\frac{y-2a+63}{3}
Graph
Share
Copied to clipboard
3x-y+a+a=63
Combine 2x and x to get 3x.
3x-y+2a=63
Combine a and a to get 2a.
-y+2a=63-3x
Subtract 3x from both sides.
2a=63-3x+y
Add y to both sides.
2a=63+y-3x
The equation is in standard form.
\frac{2a}{2}=\frac{63+y-3x}{2}
Divide both sides by 2.
a=\frac{63+y-3x}{2}
Dividing by 2 undoes the multiplication by 2.
3x-y+a+a=63
Combine 2x and x to get 3x.
3x-y+2a=63
Combine a and a to get 2a.
3x+2a=63+y
Add y to both sides.
3x=63+y-2a
Subtract 2a from both sides.
3x=y-2a+63
The equation is in standard form.
\frac{3x}{3}=\frac{y-2a+63}{3}
Divide both sides by 3.
x=\frac{y-2a+63}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{y}{3}-\frac{2a}{3}+21
Divide 63+y-2a by 3.
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}