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William buys two bags of peaches and three bags of apricots for $17. Sylvla buys four bags of peaches and two bags of apricots for $22 from the
same store. What is the cost of one bag of peaches?

Respuesta :

Answer:

4

Step-by-step explanation:

elimination method

  • 2p+3a=17
  • 4p+2a=22

multiply equation [1] by 4 and equation [2] by 2

  • 8p+12a=68
  • 8p+4a=44
  • 0+8a=24

divide both sides by 8

a=3

substitute 3 for a in equation 2 above

  • 4p+[2*3]=22
  • 4p+6=22

take 6 to the other side of the equation

NB

the symbol changes

  • 4p=22-6
  • 4p=18

divide both sides by 4

p=4

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