Solve the following system of equations
x^2+2y^2=59
2x^2+y^2=43

x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for . Now we can divide both sides by 3, getting. we subtract the first equation from our equation we just got, getting y= (5,-5). once we plug that in, we get , x = (-3,3)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18