I need help on this one too, please.
Solve for X.
3x-2y=6
I got x=6+2y/3.
My question is this: Can this be reduced down to x=2+2y?
You really need to use parentheses here.
x = (6+2y)/3 or you might want to show it as 2+(2y/3) or 2+(2/3)y
To solve for x in the equation 3x - 2y = 6, let's go through the steps:
1. Start with the given equation: 3x - 2y = 6.
2. Add 2y to both sides of the equation to isolate the variable term:
3x - 2y + 2y = 6 + 2y.
Simplifying, we have:
3x = 6 + 2y.
3. Divide both sides of the equation by 3 to solve for x:
(3x)/3 = (6 + 2y)/3.
Simplifying further:
x = (6 + 2y)/3.
So, the correct expression for solving x is x = (6 + 2y)/3.
Now, to answer your question regarding if this expression can be reduced down to x = 2 + 2y:
If we try to simplify x = (6 + 2y)/3 further, we can distribute the division to both terms within the parentheses:
x = 6/3 + (2y)/3.
Simplifying this expression, we get:
x = 2 + (2/3)y.
Therefore, the expression x = (6 + 2y)/3 cannot be reduced to x = 2 + 2y. The simplified form is x = 2 + (2/3)y.