Practice: Algebra (transpose)

Let's write out the question,  we can then collect like terms:

Let's cancel what we can, and then rewrite it to make it neater:

Multiply both sides by 4y to move it up, and then take the fifth root of both sides:

and we are done!

Before we get too involved, lets see if we can simplify any other this:

let's rewrite it so we can see it better, and then cancel out what we can

One last step! We need to transpose the equation to make x the subject! (this is quite unusual!)

done!

This is a substitution question, so lets rewrite the exercise with the respective values for each letter:

At every step, we should calculate what we can, so it will be simpler to handle:

Collect like terms, so we will add 3x to both sides, it's okay to equal zero!

Isolate the x term (subtract 15 from both sides), and then we can divide by 19: