how would you work out the problem (4y+5)/2=y+9?

Answer 1

First multiply both sides by 2...4y+5 = 2y + 18
then subtract 2y from both sides...2y+5 = 18
then subtract by 5 from both sides...2y =13
then divide both sides by 2.......y= (13/2), Good luck

Answer 2

First you need to multiply both sides of the equation by 2 to get rid of 2 in the denominator of (4y+5)/2.

When you do this the two in the denominator of that term cancel out and the equation now reads:

4y+5=2y+18

Then you need to combine like terms, which means you add together the y terms and the number terms.

First you can subtract 2y from both sides and you end up with:

2y+5=18

Then you can subtract 5 from both sides:

2y=13

Then divide by two to find out what y equals:

y=6.5

That is the answer, but to make sure, fill it into the orginal equation and make sure it checks out.

(4(6.5)+5)/2=6.5+9
(26+5)/2=6.5+9
(31)/2=6.5+9
15.5=15.5

It works, so y=6.5

Answer 3

First i would multiply both sides by 2 in order to get rid of the fraction. You would end with:
4y + 5 = 2y +18
Then get all variables on one side and the integers on the other:
2y = 13
Divide by 2 in order to get 'y' alone:
y = 13/2 OR y = 6 and 1/2 OR y = 6.5

Hope this helps!

Answer 4

(4y+5)/2=y+9
4y+5=2y+18
2y=13
y=13/2
y=6.5

Answer 5

ok, what you do is cancel out the parentheses. therefore, you divide everything inside them by two. now it looks like this:
2y+2.5=y+9
now you move the y on the right to the left by subtracting. now it's like this:
y+2.5=9
now subract the 2.5 from both sides. therefore, you end up with
y=6.5

got it?