Question

Please help me ASAP I need it for homework that needs to be done! Also show me the solution as clear as possible cause thats what I need! Thank you! Btw the problem is in the image below!

Answer 1

`x=16y^2-5`

Explanation:

Lets solve for x.

`(√(x+5) )/(4) =y`

Multiply both sides of the equation by 4.

`√(x+5)=4y`

Eliminate the square root on the left side raising both sides of the equation to the power of 2.

`√(x+5)^2=(4y)^2`

The square root and the exponent on the left side cancel out leaving us with

`x+5=(4y)^2`

Distribute the exponent on the right side.

`x+5=4^2y^2`

Simplify.

`x+5=16y^2`

Subtract 5 from both sides.

`x=16y^2-5`