Rearrange the equation t = 1 − (3v)/(vu-w) to make u the subject.

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Step 1: Subtract 1 from both sides of the equation. t = 1 − (3v)/(vu−w); t − 1 = − (3v)/(vu−w) Step 2: Multiply both sides by −1 to remove the negative sign from the fraction. −(t − 1) = (3v)/(vu−w); 1 − t = (3v)/(vu−w) Step 3: Multiply both sides by (vu−w) to eliminate the denominator. (1−t)(vu−w) = 3v Step 4: Divide both sides by (1−t). vu−w = (3v)/(1−t) Step 5: Add w to both sides to isolate the term containing u. vu = (3v)/(1−t) + w Step 6: Divide both sides by v to make u the subject. u = 1/v((3v)/(1−t) + w) Step 7: Distribute 1/v into the parenthesis. u = (3v)/(v(1−t)) + w/v; u = (3)/(1−t) + w/v Step 8: Combine the terms into a single fraction (optional, but often preferred). u = (3v + w(1−t))/(v(1−t)); The final answer is u = (3v + w(1−t))/(v(1−t)).

Rearrange the equation t = 1 − (3v)/(vu-w) to make u the subject.

Answer

Step-by-step solution

Subtract 1 from both sides of the equation.

Multiply both sides by -1 to remove the negative sign from the fraction.

Multiply both sides by $(vu-w)$ to eliminate the denominator.

Divide both sides by $(1-t)$ .

Add $w$ to both sides to isolate the term containing $u$ .

Divide both sides by $v$ to make $u$ the subject.

Distribute $\frac{1}{v}$ into the parenthesis.

Combine the terms into a single fraction (optional, but often preferred).

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Rearrange the equation t = 1 − (3v)/(vu-w) to make u the subject.

Answer

Step-by-step solution

Subtract 1 from both sides of the equation.

Multiply both sides by -1 to remove the negative sign from the fraction.

Multiply both sides by (vu−w)(vu-w)(vu−w) to eliminate the denominator.

Divide both sides by (1−t)(1-t)(1−t).

Add www to both sides to isolate the term containing uuu.

Divide both sides by vvv to make uuu the subject.

Distribute 1v\frac{1}{v}v1​ into the parenthesis.

Combine the terms into a single fraction (optional, but often preferred).

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More Mathematics Questions

Multiply both sides by $(vu-w)$ to eliminate the denominator.

Divide both sides by $(1-t)$ .

Add $w$ to both sides to isolate the term containing $u$ .

Divide both sides by $v$ to make $u$ the subject.

Distribute $\frac{1}{v}$ into the parenthesis.