Solve for q
q=\frac{3r-2}{11}
Solve for r
r=\frac{11q+2}{3}
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11q=3r-6+4
Add 4 to both sides.
11q=3r-2
Add -6 and 4 to get -2.
\frac{11q}{11}=\frac{3r-2}{11}
Divide both sides by 11.
q=\frac{3r-2}{11}
Dividing by 11 undoes the multiplication by 11.
3r-6=11q-4
Swap sides so that all variable terms are on the left hand side.
3r=11q-4+6
Add 6 to both sides.
3r=11q+2
Add -4 and 6 to get 2.
\frac{3r}{3}=\frac{11q+2}{3}
Divide both sides by 3.
r=\frac{11q+2}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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y = 3x + 4
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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