Final answer:
To solve the linear equation 2x + 3y = 6 for x, subtract 3y from both sides of the equation, then divide both sides by 2. The solution is x = (6 - 3y)/2.
Step-by-step explanation:
To solve the linear equation 2x + 3y = 6 for x, we need to isolate the variable x on one side of the equation.
To do this, we can start by subtracting 3y from both sides of the equation:
2x + 3y - 3y = 6 - 3y
2x = 6 - 3y
Next, we can divide both sides of the equation by 2 to solve for x:
2x/2 = (6 - 3y)/2
x = (6 - 3y)/2
Therefore, the solution to the linear equation 2x + 3y = 6 for x is x = (6 - 3y)/2.