<h3>Define your variables:</h3>
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.
<h2>x = Chips</h2><h2>y = Tacos</h2>
<h3>Write your system of Equations:</h3>
<u>You can get </u><u>an </u><u>order of </u><u>chips </u><u>and </u><u>two tacos </u><u>for </u><u>$9.25</u><u>. </u>
1 Chips + 2 Tacos = 9.25
<h2>x + 2y = 9.25</h2>
<u>The cost for </u><u>two </u><u>orders of </u><u>chips </u><u>and </u><u>five tacos </u><u>is </u><u>$21.75</u><u>.</u>
2 Chips + 5 Tacos = 21.75
<h2>2x + 5y = 21.75</h2><h2 /><h3>Solve The System:</h3>
First equate the coefficient - in this case x:
(x + 2y = 9.25) * 2 = 2x + 4y = 18.50
2x + 4y = 18.50
2x + 5y = 21.75
Minus 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 - 18.50
<h2>y = 3.25</h2><h2 /><h3>Answer The Question Being Asked:</h3><h3>What is the cost of an order of chips?</h3>
1 Taco = $3.25
y = 3.25
Substitute this into the equation.
x + 2y = 9.25
x + (2 * 3.25) = 9.25
x + 6.50 = 9.25
Rearrange to find x:
x = 9.25 - 6.50
x = 2.75
Chips = $2.75
<h2>$2.75</h2>
