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If (a/b)x - 1 = (b/a)x - 3, then the value of x is
- a)1/2
- b)2
- c)7/2
- d)1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If (a/b)x - 1= (b/a)x - 3, then the value of x isa)1/2b)2c)7/2d)1Corre...
∴ x - 1 = 3 - x
2x = 4
x = 2
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If (a/b)x - 1= (b/a)x - 3, then the value of x isa)1/2b)2c)7/2d)1Corre...
To find the value of x, we need to solve the equation (a/b)x - 1 = (b/a)x - 3.
Let's simplify the equation step by step:
Step 1: Distribute the coefficients
(a/b)x - 1 = (b/a)x - 3
(ax/b) - 1 = (bx/a) - 3
Step 2: Bring like terms to one side
(ax/b) - (bx/a) = -3 + 1
(ax^2 - bx^2)/(ab) = -2
Step 3: Factor out x^2
x^2 (a - b)/(ab) = -2
Step 4: Divide both sides by (a - b)/(ab)
x^2 = -2 / ((a - b)/(ab))
Step 5: Simplify the right side
x^2 = -2 * (ab/(a - b))
x^2 = -2ab/(a - b)
Step 6: Take the square root of both sides
x = ±√(-2ab/(a - b))
Since the square root of a negative number is not a real number, we can conclude that there is no real solution for x.
Therefore, the correct answer is option 'D' - there is no value of x that satisfies the equation.
Let's simplify the equation step by step:
Step 1: Distribute the coefficients
(a/b)x - 1 = (b/a)x - 3
(ax/b) - 1 = (bx/a) - 3
Step 2: Bring like terms to one side
(ax/b) - (bx/a) = -3 + 1
(ax^2 - bx^2)/(ab) = -2
Step 3: Factor out x^2
x^2 (a - b)/(ab) = -2
Step 4: Divide both sides by (a - b)/(ab)
x^2 = -2 / ((a - b)/(ab))
Step 5: Simplify the right side
x^2 = -2 * (ab/(a - b))
x^2 = -2ab/(a - b)
Step 6: Take the square root of both sides
x = ±√(-2ab/(a - b))
Since the square root of a negative number is not a real number, we can conclude that there is no real solution for x.
Therefore, the correct answer is option 'D' - there is no value of x that satisfies the equation.
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