Solve for a
a=\frac{7x+y}{8}
Solve for x
x=\frac{8a-y}{7}
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7x-7a+y=a
Use the distributive property to multiply 7 by x-a.
7x-7a+y-a=0
Subtract a from both sides.
7x-8a+y=0
Combine -7a and -a to get -8a.
-8a+y=-7x
Subtract 7x from both sides. Anything subtracted from zero gives its negation.
-8a=-7x-y
Subtract y from both sides.
\frac{-8a}{-8}=\frac{-7x-y}{-8}
Divide both sides by -8.
a=\frac{-7x-y}{-8}
Dividing by -8 undoes the multiplication by -8.
a=\frac{7x+y}{8}
Divide -7x-y by -8.
7x-7a+y=a
Use the distributive property to multiply 7 by x-a.
7x+y=a+7a
Add 7a to both sides.
7x+y=8a
Combine a and 7a to get 8a.
7x=8a-y
Subtract y from both sides.
\frac{7x}{7}=\frac{8a-y}{7}
Divide both sides by 7.
x=\frac{8a-y}{7}
Dividing by 7 undoes the multiplication by 7.
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}