Solve for a
a=3.6
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0.25a+0.8+2.25a=9.8
Add 2.25a to both sides.
2.5a+0.8=9.8
Combine 0.25a and 2.25a to get 2.5a.
2.5a=9.8-0.8
Subtract 0.8 from both sides.
2.5a=9
Subtract 0.8 from 9.8 to get 9.
a=\frac{9}{2.5}
Divide both sides by 2.5.
a=\frac{90}{25}
Expand \frac{9}{2.5} by multiplying both numerator and the denominator by 10.
a=\frac{18}{5}
Reduce the fraction \frac{90}{25} to lowest terms by extracting and canceling out 5.
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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Matrix
\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
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Limits
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