$14.00
Step-by-step explanation:
2y = 3x + 8 ...(1)
5y - 15x = -30 ....(2)
To find the point of intersection, we need to solve for x and y
First let's rewrite equation (2):
divide through by 5:
y - 3x = -6
y = 3x - 6 ...(3)
Using substitution method
substitute for y in equation (1):
2(3x - 6) = 3x + 8
6x - 12 = 3x + 8
collect like terms:
6x - 3x = 8 + 12
3x = 20
x = 20/3
substitiute for x in equation 3:
y = 3(20/3) - 6
y = 20 - 6
y = 14
Since we are looking for the price per pound of sand which is the same as y.
The price for sand where the two lines intersect is $14.00