Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of h
er marinara sauce requires 5 tomatoes and mc019-1.jpg cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce. Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes. What are the constraints for the problem?
<span>A system of equations has infinitely many solutions when the two
lines representing the equations coincide. i.e. the two equations are
the same or a multiple of each other. 2y - 4x = 6 2y = 4x + 6 2y = 2(2x + 3) y = 2x + 3 -y = -(2x + 3) -y = -2x - 3 Hence the other equation is -y = -2x - 3</span>
