Consider the following system of equations:
equation 1: 82 + 2y = 30
equation 2: 70 + 2y = 24
which variable pair should we try to eliminate?
the x's because the coefficients are the same.
the y's because the coefficients are the same.
the x's because the coefficients are different?
the y's because the coefficients are different?

the answer will be

at least two

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb