Question

What is the solution to the system of equations? {10x^2 - y = 48 2y = 16x^2 + 48

Answer 1

A graph shows the solutions to be
  (x, y) = (-6, 312) or (6, 312)


To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
  10x^2 -(8x^2 +24) = 48
  2x^2 = 72
  x = ±√(72/2) = ±6
  y = 8*36 +24 = 312