Solve for x
x=\frac{7y}{2}-19
Solve for y
y=\frac{2\left(x+19\right)}{7}
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5x-2y-3x=5y-38
Subtract 3x from both sides.
2x-2y=5y-38
Combine 5x and -3x to get 2x.
2x=5y-38+2y
Add 2y to both sides.
2x=7y-38
Combine 5y and 2y to get 7y.
\frac{2x}{2}=\frac{7y-38}{2}
Divide both sides by 2.
x=\frac{7y-38}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{7y}{2}-19
Divide 7y-38 by 2.
5x-2y-5y=3x-38
Subtract 5y from both sides.
5x-7y=3x-38
Combine -2y and -5y to get -7y.
-7y=3x-38-5x
Subtract 5x from both sides.
-7y=-2x-38
Combine 3x and -5x to get -2x.
\frac{-7y}{-7}=\frac{-2x-38}{-7}
Divide both sides by -7.
y=\frac{-2x-38}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{2x+38}{7}
Divide -2x-38 by -7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}