Answer:
burrito $3.00 , taco $1.50
Explanation:
using the variables b and t for burrito and taco , then
2t + 2b = 9 → (1)
t + 3b = 10.5 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate t
- 2t - 6b = - 21 → (3)
add (1) and (3) term by term to eliminate t
(2t - 2t) + (2b - 6b) = 9 - 21
0 - 4b = - 12
- 4b = - 12 ( divide both sides by - 4 )
b = 3
substitute b = 3 into either of the 2 equations and solve for t
substituting into (1)
2t + 2(3) = 9
2t + 6 = 9 ( subtract 6 from both sides )
2t = 3 ( divide both sides by 2 )
t = 1.5
1 burrito costs $3.00 and 1 taco costs $1.50