Question

In Equation such as 6x-y=29
and then i have x=y-9 i sub in y-9


6(y-9)-y=-29
solve for y which then equals
6y-54-y=-29
5y=25 ( how does it get their from 6y-54-y=-29?)

Answer 1

how can you get 5y=25 from that and why. i need to find the value of y but i dont understand after the point of 6y-54-y=-29 that you then get 5y=25

Answer 2

is it 29 or -29 in the 1st eq?

Answer 3

-29

Answer 4

Well you have
6y - 54 - y
on the left side. And you can rewrite that by the commutative property to be
6y -y - 54

Then you can combine the first two terms 6y-y = 5y so you get
5y - 54 and that equals -29

Answer 5

With me so far?

Answer 6

yes so i would subtract 1y to each side?

Answer 7

No, you add 54 to both sides.

Answer 8

like 6y- 1y = 5y-54

Answer 9

Wait what?

Answer 10

I think you missed something

Answer 11

You have this:

\[\text{ ( given ) }6y - 54 - y = -29\]\[\text{(commute)}\implies 6y - y-54 = -29\]\[\text{(combine first two terms)}\implies 5y - 54 = -29\]

Answer 12

ohhh
i get it

Answer 13

Because 6 y's minus 1 y is 5 y's. Just like 6 oranges minus 1 orange is 5 oranges.

Answer 14

okay. so anything other equation like that i should combine like terms

Answer 15

yeah

Answer 16

thank you