What is the solution for 4|5y-6|-2 =26

y = 13/5                 y = -1/5

Step-by-step explanation:

4|5y-6|-2 =26

Add 2 to each side

4|5y-6|-2+2 =26+2

4|5y-6| =28

Divide by 4

4|5y-6|/4 =28/4

|5y-6| =7

There is a positive and a negative solution to the absolute value

5y-6 =7  and 5y-6 =-7

Add 6 to each side

5y-6+6 = 7+6      5y-6+6 =-7+6

5y = 13                   5y = -1

Divide by 5

5y/5 = 13/5              5y/5 = -1/5

y = 13/5                 y = -1/5

step-by-step explanation:

1

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4