4x - y = 3y + 7
x + 8y = 4
based on the system of equations above, what is the
value of the product xy?

1/2 or .5

Step-by-step explanation:

solve for x in the bottom equation

x = 4 - 8y

substitute the equation for x back into the top equation

4(4-  8y) - y = 3y + 7

solve for y

36y = 9

y = 1/4

substitute y back into the equation solving x

x = 4 - 8(1/4)

solve for x

x = 4 - 2

x = 2

xy = 1/4 * 2

xy = 1/2

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: