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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step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.