Help plz or my teacher will give me a zero

Variable x = $2.39 ⇒ price of 1 pound of cashews

Variable y = $1.79 ⇒ price of 1 pound of peanuts

Step-by-step explanation:

Assume that the price of each pound of cashews is $x and the price of each pound of peanuts is $y

∵ The price of 1 pound of cashews = x

∵ The price of 1 pound of peanuts = y

∵ 5 pounds of cashews and 8 pounds of peanuts cost $26.27

∴ 5x + 8y = 26.27 ⇒ (1)

∵ 7 pounds of cashews and 4 pounds of peanuts cost $23.89

∴ 7x + 4y = 23.89 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (2) by -2 to make the coefficients of y equal

   in values and different in signs

∵ -2(7x) + -2(4y) = -2(23.89)

∴ -14x - 8y = -47.78 ⇒ (3)

→ Add equations (1) and (3) to eliminate y

∵ (5x + -14x) + (8y + - 8y) = (26.27 + -47.78)

∴ -9x = -21.51

→ Divide both sides by -9 to find x

∴ x = 2.39

→ Substitute x in equation (1) or (2) to find y

∵ 5(2.39) + 8y = 26.27

∴ 11.95 + 8y = 26.27

→ Subtract 11.95 from both sides

∴ 8y = 14.32

→ Divide both sides by 8 to find y

∴ y = 1.79

∴ The price of 1 pound of cashews is $2.39

∴ The price of 1 pound of peanuts is $1.79

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