Solve for a
a = \frac{7}{4} = 1\frac{3}{4} = 1.75
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a+2=9a-12
Multiply both sides of the equation by 3.
a+2-9a=-12
Subtract 9a from both sides.
-8a+2=-12
Combine a and -9a to get -8a.
-8a=-12-2
Subtract 2 from both sides.
-8a=-14
Subtract 2 from -12 to get -14.
a=\frac{-14}{-8}
Divide both sides by -8.
a=\frac{7}{4}
Reduce the fraction \frac{-14}{-8} to lowest terms by extracting and canceling out -2.
Examples
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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