Solve for x
x=-\frac{8y}{3}+120
Solve for y
y=-\frac{3x}{8}+45
Graph
Share
Copied to clipboard
7.5x=900-20y
Subtract 20y from both sides.
\frac{7.5x}{7.5}=\frac{900-20y}{7.5}
Divide both sides of the equation by 7.5, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{900-20y}{7.5}
Dividing by 7.5 undoes the multiplication by 7.5.
x=-\frac{8y}{3}+120
Divide 900-20y by 7.5 by multiplying 900-20y by the reciprocal of 7.5.
20y=900-7.5x
Subtract 7.5x from both sides.
20y=-\frac{15x}{2}+900
The equation is in standard form.
\frac{20y}{20}=\frac{-\frac{15x}{2}+900}{20}
Divide both sides by 20.
y=\frac{-\frac{15x}{2}+900}{20}
Dividing by 20 undoes the multiplication by 20.
y=-\frac{3x}{8}+45
Divide 900-\frac{15x}{2} by 20.
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}