Solve for x
x=\frac{7-2y}{5}
Solve for y
y=\frac{7-5x}{2}
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5x+2y=7
Add 7 to both sides. Anything plus zero gives itself.
5x=7-2y
Subtract 2y from both sides.
\frac{5x}{5}=\frac{7-2y}{5}
Divide both sides by 5.
x=\frac{7-2y}{5}
Dividing by 5 undoes the multiplication by 5.
-7+2y=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
2y=-5x+7
Add 7 to both sides.
2y=7-5x
The equation is in standard form.
\frac{2y}{2}=\frac{7-5x}{2}
Divide both sides by 2.
y=\frac{7-5x}{2}
Dividing by 2 undoes the multiplication 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
Linear equation
y = 3x + 4
Arithmetic
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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
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