Question

Solve the equation for y.

5x – 7y = 10

Answer 1

Start by subtracting 5x from both sides
\[\huge~\rm~5x -5x– 7y = 10-5x\]

Answer 2

What are you left with?

Answer 3

5x? I really don't know...

Answer 4

We subtracted 5x from both sides
\[\huge~\rm~5x -5x– 7y = 10-5x\]
\[\huge~\rm~– 7y = 10-5x\]
Now just divide everything by -7

Answer 5

what do we divide by 7?

Answer 6

-7/-7=y
10/7=cannot be simplified
-5/-7=5/7x a negative divided by a negative is a positive
So
y=____x+_____

Answer 7

so y= 5x + 7?Idk..

Answer 8

Remember we divided everything by -7

Answer 9

When you don't end up with a whole number, you can just leave the right side as a binomial and put it over 7 to avoid the complication of decimals.

Answer 10

so is the answer -5x - 7?

Answer 11

i.e.

\[\frac{ x + y }{ z }\]

Answer 12

No
We subtracted 5x from both sides
\[\huge~\rm~5x -5x– 7y = 10-5x\]
\[\huge~\rm~– 7y = 10-5x\]
Now just divide everything by -7
\[\huge~\rm~-7y/-7=\frac{ -5 }{ -7 }x +\frac{ 10 }{ -7 }\]

Answer 13

Look at the last step. I divided everything by -7

Answer 14

It would be -5x/-7 the variable isnt being multiplied into -7

Answer 15

Ok yeah I guess it was jsut a typo then :x

Answer 16

ok..i think i got it.

Answer 17

What did you get?

Answer 18

https://static.k12.com/bank_packages/files/media/mathml_5183eeb4a3777a2b74515a6211b6f3a8b468520c_1.gif

Answer 19

Nope

Answer 20

When dividing, the number you are dividing into goes on the bottom, not the top

Answer 21

A negative divided by a negative is a positive.
So just 5/7x

Answer 22

ok thank you!

Answer 23

And you flipped the y intercept.
-10/7

Answer 24

Put them together and make your line :)