Final answer:
The equation 2x + 3y = 6 yields solutions y = 2 when x = 0, and x = 3 when y = 0.
Step-by-step explanation:
The student is requesting solutions to the linear equation 2x + 3y = 6 when x = 0 and y = 0. To find the solutions, we substitute the given values into the equation.
For x = 0:
2(0) + 3y = 6
3y = 6
y = 6 / 3
y = 2
The solution when x is 0 is y = 2.
For y = 0:
2x + 3(0) = 6
2x = 6
x = 6 / 2
x = 3
The solution when y is 0 is x = 3.