Question

Solve the equation 8/x + 3 = 1/x + 1

Answer 1

Answer: I got the answer of  -7/2

Step-by-step explanation:

8

x

+3=

1

x

+1

Multiply all terms by x and cancel:

8+3x=1+1x

3x+8=x+1(Simplify both sides of the equation)

3x+8−x=x+1−x(Subtract x from both sides)

2x+8=1

2x+8−8=1−8(Subtract 8 from both sides)

2x=−7

2x

2

=

−7

2

(Divide both sides by 2)

x=

−7

2

Check answers. (Plug them in to make sure they work.)

x=

−7 /2

(Works in original equation)

Answer: -7/2