Fencing is used to make a rectangular corral with length x feet and width y feet. Then more fencing is used to form a partition parallel to the length, splitting the corral into two pens of the same size. The total amount of fencing is 300 feet.
If the total amount of fencing is given by the equation 300 = 3x + 2y, solve this equation for y
I have to be honest I don't even know where to start with this problem. Any help would be appreciated
Oh my, you are just solving a simple equation
300 = 3x + 2y
or
2y + 3x = 300
2y = 300 - 3x
y = (300 - 3x)/2
or
y = 150 - (3/2)x
Oh I was confused, I thought they were looking for a specific number for y.
I'm just overthinking it I guess.
To solve the given equation, we need to isolate the variable y. Here's how you can approach it:
1. Start with the equation: 300 = 3x + 2y
2. Rearrange the equation so that y is on one side of the equation and all other terms are on the other side. To do this, subtract 3x from both sides of the equation:
300 - 3x = 2y
3. Now, we have the equation in the form 2y = 300 - 3x. To isolate y, divide both sides of the equation by 2:
(300 - 3x) / 2 = y
4. Simplify the right side of the equation:
y = (300 - 3x) / 2
So, the solution to the equation is y = (300 - 3x) / 2.