Solve for r
r=3x+1
Solve for x
x=\frac{r-1}{3}
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4\left(r-1\right)=3\times 4x
Multiply both sides of the equation by 24, the least common multiple of 6,8.
4r-4=3\times 4x
Use the distributive property to multiply 4 by r-1.
4r-4=12x
Multiply 3 and 4 to get 12.
4r=12x+4
Add 4 to both sides.
\frac{4r}{4}=\frac{12x+4}{4}
Divide both sides by 4.
r=\frac{12x+4}{4}
Dividing by 4 undoes the multiplication by 4.
r=3x+1
Divide 12x+4 by 4.
4\left(r-1\right)=3\times 4x
Multiply both sides of the equation by 24, the least common multiple of 6,8.
4r-4=3\times 4x
Use the distributive property to multiply 4 by r-1.
4r-4=12x
Multiply 3 and 4 to get 12.
12x=4r-4
Swap sides so that all variable terms are on the left hand side.
\frac{12x}{12}=\frac{4r-4}{12}
Divide both sides by 12.
x=\frac{4r-4}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{r-1}{3}
Divide -4+4r by 12.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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