Question

5y + 3 = 2y - 3x + 5 as a function in "y=..." form (please show work)

Answer 1

Hey there!

In order to solve this equation for y, you need to use addition, subtraction, and division to combine and simplify the terms. You do this by first eliminating the terms, which you do by completing whatever will make each term equal to zero. Then, you'll repeat this same thing on the other side of the equation, like so:

5y + 3 = 2y – 3x + 5
     – 3                 – 3

5y = 2y – 3x + 2

As you can see, I subtracted three from +3 the left side to cancel it out, then repeated that on the right side to the similar term (the constant). Now, just repeat that with your other terms until your equation is equal to y. 

   5y = 2y – 3x + 2
+ 2y + 2y

7y = –3x + 2
7          7

y = –3x + 2
            7

When you can't simplify any more, you have your answer. y will be equal to –3x + 2 over 7. 

Hope this helped you out! :-)