Solve for x
x=\frac{5y}{2}+4
Solve for y
y=\frac{2\left(x-4\right)}{5}
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2x=8+5y
Add 5y to both sides.
2x=5y+8
The equation is in standard form.
\frac{2x}{2}=\frac{5y+8}{2}
Divide both sides by 2.
x=\frac{5y+8}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{5y}{2}+4
Divide 8+5y by 2.
-5y=8-2x
Subtract 2x from both sides.
\frac{-5y}{-5}=\frac{8-2x}{-5}
Divide both sides by -5.
y=\frac{8-2x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{2x-8}{5}
Divide 8-2x by -5.
Examples
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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