Norman buys lunch for his employees at the El Camion Food Truck every Friday. Last week, he purchased 8 tacos and 5 burritos and paid $28.25. The week before, he bought 7 tacos and 7 burritos and paid $33.25. Write a SYSTEM of EQUATIONS to model Norman's food truck purchases for the last two weeks. Be sure to define your variables. SOLVE the system of equations to find the cost of ONE taco and ONE burrito.

1 taco costs $1.5 and 1 burrito costs $3.25

Step-by-step explanation:

-Let t denote tacos and b denote burritos.

-The system of equations in the two weeks can then be expressed as below:

make t the subject of the formula in i and then substitute in ii to solve for both unknowns:

Hence, 1 taco costs $1.5 and 1 burrito costs $3.25

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)