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x-2y=2
2x+4y=36

x = 10 , y = 4

Step-by-step explanation:

Solve the following system:

{x - 2 y = 2 | (equation 1)

2 x + 4 y = 36 | (equation 2)

Swap equation 1 with equation 2:

{2 x + 4 y = 36 | (equation 1)

x - 2 y = 2 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + 4 y = 36 | (equation 1)

0 x - 4 y = -16 | (equation 2)

Divide equation 1 by 2:

{x + 2 y = 18 | (equation 1)

0 x - 4 y = -16 | (equation 2)

Divide equation 2 by -4:

{x + 2 y = 18 | (equation 1)

0 x+y = 4 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{x+0 y = 10 | (equation 1)

0 x+y = 4 | (equation 2)

Collect results:

 {x = 10 , y = 4

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour