<prompt> Describe the process for solving this equation2x 3y 6  <response>: To solve the equation 2x 3y 6, follow this process:1. Choose a variable to solve for: In this case, the equation has two variables, x and y, so you can choose to solve for either one. Lets choose to solve for x. 2. Isolate the variable on one side of the equation: To solve for x, isolate it on one side of the equation. Begin by moving the y-term to the right side, by subtracting 3y from both sides: 2x 3y - 3y 6 - 3ywhich simplifies to:2x 6 - 3y3. Write the equation in terms of the chosen variable: To solve for x, divide both sides of the equation by 2. This gives: 2x2 6 - 3y2 which simplifies to:x 6 - 3y2So, given the equation 2x 3y 6, we have found a solution for x in terms of y: x 6 - 3y2Note that this equation has an infinite number of solutions, as any value of y will give you a corresponding value of x. To find a unique solution, you will need an additional equation involving x and y. 