Solve for x
x=\frac{y-53}{6}
Solve for y
y=6x+53
Graph
Share
Copied to clipboard
y-2=6\left(x+8.5\right)
The opposite of -8.5 is 8.5.
y-2=6x+51
Use the distributive property to multiply 6 by x+8.5.
6x+51=y-2
Swap sides so that all variable terms are on the left hand side.
6x=y-2-51
Subtract 51 from both sides.
6x=y-53
Subtract 51 from -2 to get -53.
\frac{6x}{6}=\frac{y-53}{6}
Divide both sides by 6.
x=\frac{y-53}{6}
Dividing by 6 undoes the multiplication by 6.
y-2=6\left(x+8.5\right)
The opposite of -8.5 is 8.5.
y-2=6x+51
Use the distributive property to multiply 6 by x+8.5.
y=6x+51+2
Add 2 to both sides.
y=6x+53
Add 51 and 2 to get 53.
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}