A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five burritos and two tacos, the bill will be $22.50. Find the price of a taco and the price of a burrito. (Can someone please help me and show the equation and steps to solve)

Tacos cost $2.50 each

Burritos cost $3.50 each

Step-by-step explanation:

Price variables:

  tacos:  t

  burritos:  b

Constraints:

  2b + 5t = 19.50

  5b + 2t = 22.50

2b + 5t = 19.50

2b  = 19.50 - 5t

b = 9.75 - 5/2t

5b + 2t = 22.50

5(9.75 - 5/2t) + 2t = 22.50

48.75 - 12.50t + 2t = 22.50

48.75 - 10.50t = 22.50

-10.50t = -26.25

t = 2.50

2b + 5t = 19.50

2b + 5(2.50) = 19.50

2b + 12.50 = 19.50

2b = 7

b = 3.50

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80