Solve for x
x=14-2y
Solve for y
y=-\frac{x}{2}+7
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y-8=1-\frac{1}{2}x-2
Use the distributive property to multiply -\frac{1}{2} by x+4.
y-8=-1-\frac{1}{2}x
Subtract 2 from 1 to get -1.
-1-\frac{1}{2}x=y-8
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{2}x=y-8+1
Add 1 to both sides.
-\frac{1}{2}x=y-7
Add -8 and 1 to get -7.
\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{y-7}{-\frac{1}{2}}
Multiply both sides by -2.
x=\frac{y-7}{-\frac{1}{2}}
Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.
x=14-2y
Divide y-7 by -\frac{1}{2} by multiplying y-7 by the reciprocal of -\frac{1}{2}.
y-8=1-\frac{1}{2}x-2
Use the distributive property to multiply -\frac{1}{2} by x+4.
y-8=-1-\frac{1}{2}x
Subtract 2 from 1 to get -1.
y=-1-\frac{1}{2}x+8
Add 8 to both sides.
y=7-\frac{1}{2}x
Add -1 and 8 to get 7.
Examples
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{ 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}