SOLUTION: Please solve the equation and check your solution. sqrt of 2y+7+4=y

Question 49777: Please solve the equation and check your solution.
sqrt of 2y+7+4=y
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!

.
[Isolate the radical to one side]
.

.
[Square both sides]
.
2y+7 = (y - 4)(y - 4) [Multiply by using the FOIL method]
2y+7=y^2-8y+16[Set the equaion equal to zero by getting all of the terms to one side of the equation]
.
2y+7-7=y^2-7-8y+16
2y=y^2-8y+9
2y-2y=y^2-8y-2y+9
0=y^2-10y+9 [Factor]
0 = (y-9)(y-1) [solve for y]
.
0=y-9
y=9
.
0=y-1
y=1
.
y=9 or y=1 [Final answers]
.
Check by plugging the values of "y" back into the original equatin.

RELATED QUESTIONS
Solve. (Be sure to check your solution): sqrt(2y + 7) + 4 = y (answered by Fombitz)

Solve each of the equations. Be sure to check your solution. {{{sqrt(2y)+7+4=y}}}... (answered by checkley75,bucky)

Solve and check solution sqrt (2y + 7) + 4 = y Thank... (answered by Earlsdon)

Please help. Thanks. solve the following equation. Be sure to check your solution. sqrt (answered by stanbon)

Please solve the equation and be sure to check your solution. sqrt of 4x+1+3=0 (answered by tutorcecilia)

can someone please help me complete this? i have to solve and check.... (answered by tutor_paul)

Find the real solution of the equation. Check your answer, please. y^4 - 2y^2 - 8 =... (answered by richwmiller)

solve the equation and check your solution... (answered by stanbon)

sqrt of y + 10 = y - 2 solve each radical equation. check your... (answered by ewatrrr)