Solve for a
a=-\frac{4b}{3}
Solve for b
b=-\frac{3a}{4}
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3a=-4b
Subtract 4b from both sides. Anything subtracted from zero gives its negation.
\frac{3a}{3}=-\frac{4b}{3}
Divide both sides by 3.
a=-\frac{4b}{3}
Dividing by 3 undoes the multiplication by 3.
4b=-3a
Subtract 3a from both sides. Anything subtracted from zero gives its negation.
\frac{4b}{4}=-\frac{3a}{4}
Divide both sides by 4.
b=-\frac{3a}{4}
Dividing by 4 undoes the multiplication by 4.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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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