Solve for x
x=\frac{3y+223}{37}
Solve for y
y=\frac{37x-223}{3}
Graph
Share
Copied to clipboard
74x-6y=520-74
Subtract 74 from both sides.
74x-6y=446
Subtract 74 from 520 to get 446.
74x=446+6y
Add 6y to both sides.
74x=6y+446
The equation is in standard form.
\frac{74x}{74}=\frac{6y+446}{74}
Divide both sides by 74.
x=\frac{6y+446}{74}
Dividing by 74 undoes the multiplication by 74.
x=\frac{3y+223}{37}
Divide 446+6y by 74.
74-6y=520-74x
Subtract 74x from both sides.
-6y=520-74x-74
Subtract 74 from both sides.
-6y=446-74x
Subtract 74 from 520 to get 446.
\frac{-6y}{-6}=\frac{446-74x}{-6}
Divide both sides by -6.
y=\frac{446-74x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{37x-223}{3}
Divide 446-74x 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}