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17 votes
17 votes
Make x the subject !!!!!! Please

Make x the subject !!!!!! Please-example-1
User Sunil Sharma
by
3.1k points

2 Answers

11 votes
11 votes

Answer:

Explanation:

1. Eliminate fractions by multiplying both sides of this equation by x + b:

y(x + b) = ax + 1

2. Perform the indicated multiplication: xy + yb = ax + 1

3. Group together the x-terms xy - ax = 1 - yb, or x(y - a) = 1 - yb

1 - yb

4. Divide both sides by (y - a): x = ----------------

y - a

User Jethro Hazelhurst
by
2.9k points
15 votes
15 votes

Answer:

x =
(1-by)/(y-a)

Explanation:

y =
(ax+1)/(x+b) ← multiply both sides by (x + b)

y(x + b) = ax + 1 ← distribute parenthesis on left side by y

yx + by = ax + 1 ( subtract ax from both sides )

yx - ax + by = 1 ( subtract by from both sides )

yx - ax = 1 - by ( factor x out of each term on the left side )

x(y - a) = 1 - by ← divide both sides by (y - a)

x =
(1-by)/(y-a)

User Falk Tandetzky
by
3.2k points