x − 2y = (y-x)/(w)

Question

x − 2y = (y-x)/(w)

ScanSolve AI Tutor · Accepted Answer

Here is the solution for the equation: x − 2y = (y−x)/(w) The goal is to express x in terms of y and w. Step 1: Multiply both sides of the equation by w to eliminate the denominator. w(x − 2y) = y − x Step 2: Distribute w on the left side of the equation. wx − 2wy = y − x Step 3: Gather all terms containing x on one side of the equation and terms not containing x on the other side. Add x to both sides and add 2wy to both sides. wx + x = y + 2wy Step 4: Factor out x from the terms on the left side. x(w + 1) = y + 2wy Step 5: Divide both sides by (w+1) to isolate x. x = (y + 2wy)/(w + 1) Step 6: (Optional) Factor out y from the numerator. x = (y(1 + 2w))/(w + 1) The solution for x in terms of y and w is: x = (y(1 + 2w))/(w + 1)

x − 2y = (y−x)/(w)

Answer

Step-by-step solution

Multiply both sides of the equation by $w$ to eliminate the denominator.

Distribute $w$ on the left side of the equation.

Gather all terms containing $x$ on one side of the equation and terms not containing $x$ on the other side.

Factor out $x$ from the terms on the left side.

Divide both sides by $(w+1)$ to isolate $x$ .

(Optional) Factor out $y$ from the numerator.

Try one yourself

Still stuck on this one?

More Mathematics Questions

x − 2y = (y−x)/(w)

Answer

Step-by-step solution

Multiply both sides of the equation by www to eliminate the denominator.

Distribute www on the left side of the equation.

Gather all terms containing xxx on one side of the equation and terms not containing xxx on the other side.

Factor out xxx from the terms on the left side.

Divide both sides by (w+1)(w+1)(w+1) to isolate xxx.

(Optional) Factor out yyy from the numerator.