To find the x-intercept you plug 0 in for y and solve for x
To find the y-intercept you plug 0 in for x and solve for y
20x + 8(0) = 240
20x = 240
x = 12
20(0) + 8y = 240
8y = 240
y = 30
For the first equation your x-intercept is (12,0) and your y-intercept is (0,30)
15x + 3(0) = 270
15x = 270
x = 18
15(0) + 3y = 270
3y = 270
y = 90
For the second equation your x-intercept is (18,0) and your y-intercept is (0,90)