Question

x+2/ x-1 = 1- 1/x-3 simplify ​

Answer 1

To write 2x−32x-3 as a fraction with a common denominator, multiply by x−1x−1x-1x-1.

2x−3⋅x−1x−1−1x−12x-3⋅x-1x-1-1x-1

To write −1x−1-1x-1 as a fraction with a common denominator, multiply by x−3x−3x-3x-3.

2x−3⋅x−1x−1−1x−1⋅x−3x−32x-3⋅x-1x-1-1x-1⋅x-3x-3

Write each expression with a common denominator of (x−3)(x−1)(x-3)(x-1), by multiplying each by an appropriate factor of 11.

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2(x−1)(x−1)(x−3)−x−3(x−1)(x−3)2(x-1)(x-1)(x-3)-x-3(x-1)(x-3)

Combine the numerators over the common denominator.

2(x−1)−(x−3)(x−1)(x−3)2(x-1)-(x-3)(x-1)(x-3)

Simplify the numerator.

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Apply the distributive property.

2x+2⋅−1−(x−3)(x−1)(x−3)2x+2⋅-1-(x-3)(x-1)(x-3)

Multiply 22 by −1-1.

2x−

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

given:

x+2/x-1 =1- 1/x-3

(x+2)(x-3) = (x-1)(x-4)

x^2-3x+2x-6 = x^2-4x-x+4

-x-6 =-5x+4

5x-x = 4+6

4x = 10

x = 10/4

x = 5/2

hope it helps you