Solve for t
t=\frac{3x+16}{7}
Solve for x
x=\frac{7t-16}{3}
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7t-7x=-4\left(x-4\right)
Use the distributive property to multiply 7 by t-x.
7t-7x=-4x+16
Use the distributive property to multiply -4 by x-4.
7t=-4x+16+7x
Add 7x to both sides.
7t=3x+16
Combine -4x and 7x to get 3x.
\frac{7t}{7}=\frac{3x+16}{7}
Divide both sides by 7.
t=\frac{3x+16}{7}
Dividing by 7 undoes the multiplication by 7.
7t-7x=-4\left(x-4\right)
Use the distributive property to multiply 7 by t-x.
7t-7x=-4x+16
Use the distributive property to multiply -4 by x-4.
7t-7x+4x=16
Add 4x to both sides.
7t-3x=16
Combine -7x and 4x to get -3x.
-3x=16-7t
Subtract 7t from both sides.
\frac{-3x}{-3}=\frac{16-7t}{-3}
Divide both sides by -3.
x=\frac{16-7t}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{7t-16}{3}
Divide 16-7t by -3.
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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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