Solve for x
x=7y-39
Solve for y
y=\frac{x+39}{7}
Graph
Share
Copied to clipboard
2x+4y-3\left(x-y\right)=39
Use the distributive property to multiply 2 by x+2y.
2x+4y-3x+3y=39
Use the distributive property to multiply -3 by x-y.
-x+4y+3y=39
Combine 2x and -3x to get -x.
-x+7y=39
Combine 4y and 3y to get 7y.
-x=39-7y
Subtract 7y from both sides.
\frac{-x}{-1}=\frac{39-7y}{-1}
Divide both sides by -1.
x=\frac{39-7y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=7y-39
Divide 39-7y by -1.
2x+4y-3\left(x-y\right)=39
Use the distributive property to multiply 2 by x+2y.
2x+4y-3x+3y=39
Use the distributive property to multiply -3 by x-y.
-x+4y+3y=39
Combine 2x and -3x to get -x.
-x+7y=39
Combine 4y and 3y to get 7y.
7y=39+x
Add x to both sides.
7y=x+39
The equation is in standard form.
\frac{7y}{7}=\frac{x+39}{7}
Divide both sides by 7.
y=\frac{x+39}{7}
Dividing by 7 undoes the multiplication by 7.
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}