Solve for x
x=\frac{y}{2}+\frac{3}{4}
Solve for y
y=2x-\frac{3}{2}
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3x+2y+3-7x=0
Subtract 7x from both sides.
-4x+2y+3=0
Combine 3x and -7x to get -4x.
-4x+3=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
-4x=-2y-3
Subtract 3 from both sides.
\frac{-4x}{-4}=\frac{-2y-3}{-4}
Divide both sides by -4.
x=\frac{-2y-3}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{y}{2}+\frac{3}{4}
Divide -2y-3 by -4.
2y+3=7x-3x
Subtract 3x from both sides.
2y+3=4x
Combine 7x and -3x to get 4x.
2y=4x-3
Subtract 3 from both sides.
\frac{2y}{2}=\frac{4x-3}{2}
Divide both sides by 2.
y=\frac{4x-3}{2}
Dividing by 2 undoes the multiplication by 2.
y=2x-\frac{3}{2}
Divide 4x-3 by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
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\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}