At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75. What is the cost of an order of chips?Define your variables:Write your system of Equations:Solve The System:Answer The Question Being Asked:Topic: Applying Systems of Equations

Define your variables:At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75.x = Chipsy = TacosWrite your system of Equations:You can get an order of chips and two tacos for $9.25. 1 Chips + 2 Tacos = 9.25x + 2y = 9.25The cost for two orders of chips and five tacos is $21.75.2 Chips + 5 Tacos = 21.752x + 5y = 21.75Solve The System:First equate the coefficient - in this case x:(x + 2y = 9.25) * 2 = 2x + 4y = 18.502x + 4y = 18.502x + 5y = 21.75Minus the equations from each other to remove the coefficient you equated:(2x + 5y) - (2x + 4y) = 21.75 - 18.50(2x - 2x) + (5y - 4y) = 21.75 - 18.50y = 3.25Answer The Question Being Asked:What is the cost of an order of chips?1 Taco = $3.25 y = 3.25Substitute this into the equation.x + 2y = 9.25x + (2 * 3.25) = 9.25x + 6.50 = 9.25Rearrange to find x:x = 9.25 - 6.50x = 2.75Chips = $2.75$2.75