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Xy+3=2y solve for x..

2 Answers

6 votes

Answer:

To solve for x in the equation xy + 3 = 2y, we can start by isolating x on one side of the equation.

First, we can subtract 2y from both sides to get:

xy - 2y + 3 = 0

Next, we can factor out the x variable from the left side of the equation:

x(y - 2) + 3 = 0

Finally, we can isolate x by subtracting 3 from both sides and dividing by (y - 2):

x = -3/(y - 2)

Therefore, the solution for x in terms of y is x = -3/(y - 2).

answered
User Michiel Duvekot
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8.7k points
3 votes

Answer:

To solve for x in the equation xy + 3 = 2y, we can use algebraic manipulation to isolate x on one side of the equation.

First, we can start by subtracting 2y from both sides of the equation:

xy + 3 - 2y = 0

Next, we can factor out the common factor of y from the first two terms on the left-hand side:

y(x - 2) + 3 = 0

Finally, we can isolate x by dividing both sides by (x-2):

y(x - 2)/(x - 2) + 3/(x-2) = 0/(x-2)

Simplifying the left-hand side gives:

y + 3/(x-2) = 0

Subtracting y from both sides gives:

3/(x-2) = -y

Multiplying both sides by (x-2) gives:

3 = -y(x-2)

Dividing both sides by -y gives:

3/-y = x-2

Adding 2 to both sides gives:

x = 2 - 3/y

Therefore, the solution for x is x = 2 - 3/y.

answered
User Phunehehe
by
8.4k points

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