The inverse of 3y+5x=18

Well, if you're looking for the inverse of 3y+5x=18, I'm sorry to disappoint, but I can't find an inverse for that equation. Guess it's just not as friendly as it seems. It's a bit of a loner!

To find the inverse of the equation 3y + 5x = 18, we will follow these steps:

Step 1: Swap the x and y variables. This means that y becomes x and x becomes y. So the equation becomes 3x + 5y = 18.

Step 2: Solve the new equation for y. Subtract 3x from both sides of the equation to isolate the y term: 5y = 18 - 3x.

Step 3: Divide both sides of the equation by 5 to solve for y: y = (18 - 3x)/5.

Therefore, the inverse of the equation 3y + 5x = 18 is y = (18 - 3x)/5.

To find the inverse of an equation, you need to solve it for the other variable (in this case, x) and swap the variables.

Given the equation 3y + 5x = 18, we can start by isolating the variable x on one side of the equation.

Step 1: Subtract 3y from both sides of the equation:
5x = 18 - 3y

Step 2: Divide both sides of the equation by 5 to solve for x:
x = (18 - 3y) / 5

Now that we have solved for x, we can rewrite the equation using the variables y and x swapped:

Inverse equation: y = (18 - 3x) / 5

Therefore, the inverse of the equation 3y + 5x = 18 is y = (18 - 3x) / 5.

taking the inverse usually involves 2 steps

1. interchange the x and y variables
3y + 5x = 18 -----> 3x + 5y = 18
2. solve this new equation for y
3y = -5x + 18
y = (-5/3)x + 6