Answer:
y = [tex]\frac{30-3x}{5}[/tex]
Step-by-step explanation:
Given
3x + 5y = 30
Isolate the term in y by subtracting 3x from both sides
5y = 30 - 3x ( divide both sides by 5 )
y = [tex]\frac{30-3x}{5}[/tex]
Answer:
[tex]y=\frac{-3}{5}x+6[/tex]
Step-by-step explanation:
3x+5y=30 is the given equation.
We are asked to isolate y.
The term that contains y is 5y. I'm going to first isolate 5y.
To isolate 5y we see that we have +3x with it. To undo addition of 3x we will need to subtract 3x on both sides.
3x+5y=30
-3x -3x
5y=-3x+30
We now have 5y by itself. There is actually one step left to get the y by itself.
The last step is undo this multiplication between 5 and y.
To undo multiplication you divide.
So we will be dividing 5 on both sides. This gives us:
3x+5y=30
-3x -3x
5y=-3x+30
-- ---------
5 5
So the whole reason we did that is because 5y/5 is just y. I'm going to separate that fraction on the right hand side. This gives me:
y=-3/5 x + 30/5
I'm going to simplify the 30/5 to 6.
y=-3/5 x +6
