At a restaurant, you eat 2 taco salads and drink two glasses of ice tea. Your friend eats 1 taco salad and drinks 1 glass of ice tea. The restaurant charges you $11 and your friend $6.50. Can you determine the prices of taco salads and ice tea? Explain.
Set up a system of equations that represent x as taco salads and y as iced tea: 2x + 2y = 11 (you) x + y = 6.50 (your friend) Solve the system of equations by solving one of the equations for a variable: x+y = 6.50 (I solved for y): y = 6.50 - x. Plug this equation into the y of the first equation: 2x + 2(6.50 - x) = 11 Solve for x: 2x + 13 - 2x = 11 2x cancels out: 13 = 11 No solution, so it is not possible to determine the prices of the items.
