Solve for t
t=\frac{2x}{15}-\frac{1}{3}
Solve for x
x=\frac{15t+5}{2}
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x-2.5=7.5t
Use the distributive property to multiply 0.25 by 4x-10.
7.5t=x-2.5
Swap sides so that all variable terms are on the left hand side.
\frac{7.5t}{7.5}=\frac{x-2.5}{7.5}
Divide both sides of the equation by 7.5, which is the same as multiplying both sides by the reciprocal of the fraction.
t=\frac{x-2.5}{7.5}
Dividing by 7.5 undoes the multiplication by 7.5.
t=\frac{2x}{15}-\frac{1}{3}
Divide x-2.5 by 7.5 by multiplying x-2.5 by the reciprocal of 7.5.
x-2.5=7.5t
Use the distributive property to multiply 0.25 by 4x-10.
x=7.5t+2.5
Add 2.5 to both sides.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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