Question

8y+4=2|y-1|

ive been working at this problem but i cant solve it....plz help me

Answer 1

I'll give it a shot, thx u so much

Answer 2

it didnt work....im not good at math

Answer 3

oh wait i think it works!

Answer 4

8y+4=2|y-1|

Divide both sides by 2:
4y+2=|y-1|

Split into two equations to get rid of absolute value:
-(4y+2)=y-1 and (4y+2)=y-1

Solve for y:
-4y-2=y-1 4y+2=y-1
-4y-1=y 4y=y-3
-1=5y 3y=-3
-1/5=y y=-1

Plug both solutions into original equation and solve:
y=-1/5 y=-1
8(-1/5)+4=2|(-1/5)-1| 8(-1)+4=2|(-1)-1|
4(-1/5)+2=|-1/5-1| 4(-1)+2=|-1-1|
-4/5+10/5=|-1/5-5/5| -4+2=|-2|
6/5=|-6/5| -2=|-2|
6/5=6/5 -2=2

Since 6/5=6/5 is a true statement, y=-1/5 is a solution.

Since -2=2 is NOT a true statement, y=-1 is NOT a solution.

Therefore, the answer is y=-1/5.