Solve for x
x=\frac{5\left(y+36\right)}{12}
Solve for y
y=\frac{12\left(x-15\right)}{5}
Graph
Share
Copied to clipboard
4\times 3x-5y=180
Multiply both sides of the equation by 20, the least common multiple of 5,4.
12x-5y=180
Multiply 4 and 3 to get 12.
12x=180+5y
Add 5y to both sides.
12x=5y+180
The equation is in standard form.
\frac{12x}{12}=\frac{5y+180}{12}
Divide both sides by 12.
x=\frac{5y+180}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{5y}{12}+15
Divide 180+5y by 12.
4\times 3x-5y=180
Multiply both sides of the equation by 20, the least common multiple of 5,4.
12x-5y=180
Multiply 4 and 3 to get 12.
-5y=180-12x
Subtract 12x from both sides.
\frac{-5y}{-5}=\frac{180-12x}{-5}
Divide both sides by -5.
y=\frac{180-12x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{12x}{5}-36
Divide 180-12x by -5.
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}