Two groups of students order burritos and tacos at a local restaurant. one order of 3 burritos and 4 tacos coast 11.33. the other order of 9 burritos and 5 tacos coast 23.56.

3B + 4T = 11.33 9B + 5T = 23.56 Solve by elimination: Multiply the first equation by -3 to get -9B where the 3B is so that it will cancel with the 9B when the equations are added. -9B - 12T = -33.99 9B + 5T = 23.56 -7T = -10.43 T = $1.49 Substitute in 3B + 4T = 11.33 3B + 4(1.49) = 11.33 3B + 5.96 = 11.33 3B = 5.37 B = $1.79 A taco costs $1.49 and a burrito costs $1.79. Therefore 5 burritos and 7 tacos will cost 5B + 7T = 5($1.79) + 7($1.49) = $19.38