Solve for x
x=5y+8
Solve for y
y=\frac{x-8}{5}
Graph
Share
Copied to clipboard
-35y-7+7x=49
Use the distributive property to multiply 7 by -1+x.
-7+7x=49+35y
Add 35y to both sides.
7x=49+35y+7
Add 7 to both sides.
7x=56+35y
Add 49 and 7 to get 56.
7x=35y+56
The equation is in standard form.
\frac{7x}{7}=\frac{35y+56}{7}
Divide both sides by 7.
x=\frac{35y+56}{7}
Dividing by 7 undoes the multiplication by 7.
x=5y+8
Divide 56+35y by 7.
-35y-7+7x=49
Use the distributive property to multiply 7 by -1+x.
-35y+7x=49+7
Add 7 to both sides.
-35y+7x=56
Add 49 and 7 to get 56.
-35y=56-7x
Subtract 7x from both sides.
\frac{-35y}{-35}=\frac{56-7x}{-35}
Divide both sides by -35.
y=\frac{56-7x}{-35}
Dividing by -35 undoes the multiplication by -35.
y=\frac{x-8}{5}
Divide 56-7x by -35.
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}