Question 158100
Solve the equation 1/4y-1=1/9y

Simplify and solve the equation (x/4x-16)-8=1/x-4

Solve for k -5/7k+-5/6=7-(-8/5k)

Solutions;

1.) given: 1/4y-1=1/9y

Sol: 1/4y-1/9y=1
     9-4=36y
        y=5/36
Ans: y=5/36

2.) Given: (x/4x-16)-8=1/x-4

Sol:  1/4-16-8=1/x-4
      1/4-24+4=1/x
      1/4-20=1/x
      x/4-20x=1
        x-5x=4
           x=-1
Ans:  x=-1

3.) Given: k-5/7k+-5/6=7-(-8/5k)

Sol: k-5/7k-5/6=7+8/5k
     k-5/7k-8/5k=5/6+7
      6(35k-25k-56k)=35(5+42)
      6(-46k)=1645
           k=-1645/276
Ans: k=-1645/276