Solve for f
f=\frac{29-x}{3}
Solve for x
x=29-3f
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6x-9=5x+20-3f
Use the distributive property to multiply 5 by x+4.
5x+20-3f=6x-9
Swap sides so that all variable terms are on the left hand side.
20-3f=6x-9-5x
Subtract 5x from both sides.
20-3f=x-9
Combine 6x and -5x to get x.
-3f=x-9-20
Subtract 20 from both sides.
-3f=x-29
Subtract 20 from -9 to get -29.
\frac{-3f}{-3}=\frac{x-29}{-3}
Divide both sides by -3.
f=\frac{x-29}{-3}
Dividing by -3 undoes the multiplication by -3.
f=\frac{29-x}{3}
Divide x-29 by -3.
6x-9=5x+20-3f
Use the distributive property to multiply 5 by x+4.
6x-9-5x=20-3f
Subtract 5x from both sides.
x-9=20-3f
Combine 6x and -5x to get x.
x=20-3f+9
Add 9 to both sides.
x=29-3f
Add 20 and 9 to get 29.
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y = 3x + 4
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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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