To solve the equation 2y + 3x + 4y = 20, we first combine the like terms involving y.
1. Combine like terms:
2y + 4y = 6y
So the equation simplifies to:
6y + 3x = 20
2. Next, we can isolate one of the variables. Let’s isolate y. To do this, we can express 6y in terms of x:
6y = 20 – 3x
3. Now, divide both sides by 6 to solve for y:
y = (20 – 3x) / 6
4. This means that for any value of x, you can find a corresponding value of y. For example:
If x = 0:
y = (20 – 3(0)) / 6 = 20 / 6 = 10/3
If x = 6:
y = (20 – 3(6)) / 6 = (20 – 18) / 6 = 2 / 6 = 1/3
This shows how x and y are related in the equation. You can choose any value for x, and then calculate y accordingly.