Final answer:
The x-intercept of the equation 2/5x + 1/2y = 20 is (50, 0), and the y-intercept is (0, 40), found by setting the opposite variable to zero and solving for the other.
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation 2/5x + 1/2y = 20, let's set each variable to zero and solve for the other.
For the y-intercept (x=0):
2/5(0) + 1/2y = 20
Multiply both sides of the equation by 2 to get rid of the fraction:
y = 40
For the x-intercept (y=0):
2/5x + 1/2(0) = 20
Multiply both sides of the equation by 5/2 to get rid of the fraction:
x = 50
Therefore, the x-intercept is (50, 0) and the y-intercept is (0, 40).