Question

Solve the following linear equations and verify the solution: d) 1/x+1= 3/4(x-1)

Answer 1

Answer:

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

1/x+1=3x/4-3/4

1+x/x=3x-12/4

4(1+x)=x(3x-12x)

4+4x=3x²-12x

3x²-12x+4x-4=0

3x²-8x-4=0

3x²+6x-2x-4=0

3x(x+2)-2(x+2)=0

(3x-2)(x+2)=0

3x-2=0. x+2=0

3x=2. x=-2

x=2/3