Question

Dory and Nemo go to Taco Bell for lunch. Dory orders 3 soft tacos and 3 double deckers for $11.25. Nemo orders 4 soft tacos and 2 double deckers. Write a system of equations that represent the lunch orders for Dory and Nemo. Use x to represent soft tacos and y to represent double deckers.

Answer 1

x= $2.50, y= $1.25

Explanation:

X= soft taco

Y= double deckers

$11.25= 3x+3y

$10.00= 4x+2y

first eliminate 1 variable, lets say d, to do this we must cancel them out, to do this multiply the top by -2 and the bottom by 3

-2 ($11.25= 3x+3y) -$22.50= -6x-6y

3 ($10.00= 4x+2y) which becomes. $30.00=12x+6y

then the -6y and the positive 6y cancel out and you are left with 1 variable

after this add the remaining parts to get.

$7.50=6x divide by 6, then put x back into one of your original equations and solve for d then you have found how much each item costs and are finished with the system of equations

Answer 2

y = 2.50 , x = 1.25

Explanation:

x = soft tacos

y = double deckers

Dory:

3x + 3y = 11.25

Nemo:

4x + 2y = 10.00

---Now to solve for x and y---

---We find LCM of either x or y then make them cancel each other---

Dory multiply by 2:

6x + 6y = 22.50

Nemo multiply by 3:

12x + 6y = 30.00

--eliminate y---

Nemo subtract Dory:

6x = 7.50

Therefore x = 7.50 ÷ 6 = 1.25

---Now substitute x = 1.25 in either equation.---

Dory:

3.75 + 3y = 11.25

Therefore 3y = 11.25 - 3.75

therefore 3y = 7.50

there fore y = 2.50

y = 2.50 , x = 1.25