Solve for x
x=\frac{y+11}{2}
Solve for y
y=2x-11
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y-5=2x-16
Use the distributive property to multiply 2 by x-8.
2x-16=y-5
Swap sides so that all variable terms are on the left hand side.
2x=y-5+16
Add 16 to both sides.
2x=y+11
Add -5 and 16 to get 11.
\frac{2x}{2}=\frac{y+11}{2}
Divide both sides by 2.
x=\frac{y+11}{2}
Dividing by 2 undoes the multiplication by 2.
y-5=2x-16
Use the distributive property to multiply 2 by x-8.
y=2x-16+5
Add 5 to both sides.
y=2x-11
Add -16 and 5 to get -11.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Limits
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