Question

1/(x-1) + 3/(x-1) = -8

Answer 1

Step-by-step explanation:

How to solve your problem

Topics: Algebra, Rational expressions and equations, Rational Equation

1

(

−

1

)

+

3

(

−

1

)

=

−

8

\frac{1}{(x-1)}+\frac{3}{(x-1)}=-8

(x−1)1+(x−1)3=−8

Solve

1

Combine fractions with common denominator

1

−

1

+

3

−

1

=

−

8

\frac{1}{x-1}+\frac{3}{x-1}=-8

x−11+x−13=−8

1

+

3

−

1

=

−

8

\frac{1+3}{x-1}=-8

x−11+3=−8

2

Add the numbers

3

Multiply all terms by the same value to eliminate fraction denominators

7 more steps

Solution

x=1/2

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Answer 2

Step-by-step explanation:

$\frac{1}{x - 1} + \frac{3}{x - 1} = - 8$

$\frac{1 + 3}{x - y} = - 8$

$4 = - 8 (x - y)$

( x - y ) = -4/8

( x - y ) = -1/2