Question

Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^

"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito) ​

Answer 1

1x+ 1y =11

10x + 5y = 80

x = the cost of a taco = $5

y = the cost of a burrito = $6

Explanation:

x = the cost of a taco

y = the cost of a burrito

1x+ 1y =11

10x + 5y = 80

rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:

10x + 5( 11-x) = 80 distribute left side

10x + 55 - 5x = 80 combine like terms

10x - 5x = 5x

5x + 55 = 80 subtract 55 from both sides

5x = 80 - 55

5x = 25 divide by 5

x = 5

plug in for y in 1st equation y = 11--x =11-5 = 6