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The university theatre department is selling tickets to their
upcoming performance. Three senior citizen tickets and one
student ticket were sold for $38. Three senior citizen ad two
student tickets were sold for $52. Determine the cost of a
senior citizen ticket, x and the price of a student ticket, y. Write
your answer as an ordered pair (x,y).

Respuesta :

karmaxXD

Answer:

(8,14)

Step-by-step explanation:

3x+2y=52

3x+1y=38 Subtract these equations using elimination method to get y=14

Then substitute y=14 to either equation

the bottom one is easier so

3x+1(14)=38 distribute 1 to 14 and any number times one is 1

3x+14=38 Subtract 14 from both sides

3x=24 Divide by 3

x=8 so check now

3(8)+1(14)=38

24+14=38?

38=38? yes