X-intercept
To find the x-intercept we must replace y=0 and isolate x. Doing so, we have:
5x + 3*(0) = 30
5x = 30 (Multiplying)
x = 30/5 (Dividing by 5 on both sides of the equation)
x = 6
The coordinates of the x-intercept would be (6,0)
Y-intercept
To find the y-intercept we must replace x=0 and isolate y. Doing so, we have:
5*(0) + 3y = 30
3y = 30 (Multiplying)
y = 30 / 3 (Dividing by 3 on both sides of the equation)
y = 10 (Dividing)
The coordinates of the y-intercept would be (0,10)