Solve for r
r=-9
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\frac{5}{3}r+5=-10
Swap sides so that all variable terms are on the left hand side.
\frac{5}{3}r=-10-5
Subtract 5 from both sides.
\frac{5}{3}r=-15
Subtract 5 from -10 to get -15.
r=-15\times \frac{3}{5}
Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.
r=\frac{-15\times 3}{5}
Express -15\times \frac{3}{5} as a single fraction.
r=\frac{-45}{5}
Multiply -15 and 3 to get -45.
r=-9
Divide -45 by 5 to get -9.
Examples
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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
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Limits
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