Solve for y q/t=u/y

qt=uy
Rewrite the equation as uy=qt.
uy=qt
Set up the rational expression with the same denominator over the entire equation.
Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of yt. The uy expression needs to be multiplied by tt to make the denominator yt. The qt expression needs to be multiplied by yy to make the denominator yt.
uy⋅tt=qt⋅yy
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of yt.
u(t)
Multiply u by t.
utyt=qt⋅yy
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of yt.
q(y)
Multiply q by y.
utyt=qyyt
utyt=qyyt
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
ut=qy
Rewrite the equation as qy=ut.
qy=ut
Divide each term by q and simplify.
Divide each term in qy=ut by q.
qyq=utq
Cancel the common factor of q.
Cancel the common factor.
qyq=utq
Divide y by 1.
y=utq
y=utq
y=utq
Solve for y q/t=u/y

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