Solve for a
a=-\frac{47x}{5}+42
Solve for x
x=\frac{210-5a}{47}
Graph
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9.4x+a=42
Swap sides so that all variable terms are on the left hand side.
a=42-9.4x
Subtract 9.4x from both sides.
9.4x+a=42
Swap sides so that all variable terms are on the left hand side.
9.4x=42-a
Subtract a from both sides.
\frac{9.4x}{9.4}=\frac{42-a}{9.4}
Divide both sides of the equation by 9.4, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{42-a}{9.4}
Dividing by 9.4 undoes the multiplication by 9.4.
x=\frac{210-5a}{47}
Divide 42-a by 9.4 by multiplying 42-a by the reciprocal of 9.4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}