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PLEASE HELP ME! IT WAS DUE!

PLEASE HELP ME! IT WAS DUE!-example-1
User Tsul
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2 Answers

4 votes
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User Undershock
by
9.1k points
5 votes

Answer:

one apple: 75 cents

one orange: 60 cents

Explanation:

let x be price of one apple

let y be price of one orange

3x + 4y = 4.65

5x + 8y = 8.55

we can do elimination, substitution, or graphing.

this is elimination: (we're eliminating the x in this case to find y, and then use y to find x)

ORIGINAL EQUATIONS: (we're multiplying by 5 so we can eliminate x)

3x + 4y = 4.65

5x + 8y = 8.55

5(3x + 4y = 4.65) = 15x + 20y = 23.25

3(5x + 8y) = 8.55 = 15x + 24y = 25.65

(distribute, and then subtract to get one equation and eliminate x)

15x + 20y = 23.25

- 15x + 24y = 25.65

------------------------------

0 - 4y = - 2.4

so we got that, now we make it this: -4y = -2.4

divide both sides by -4.

-4y = -2.4

----- -----

-4 -4

y (orange variable) = 0.60

therefore, one orange cost 60 cents.

plug y (the 60 cents) back into one of the original equations (either works) and solve for x.

3x + 4y = 4.65

5x + 8y = 8.55

let's use this equation: 5x + 8y = 8.55

5x + 8(0.6) = 8.55

5x + 4.8 = 8.55

-4.8 -4.8

5x = 3.75

---- ------

5 5

x = 0.75

therefore, one apple cost 75 cents.

(also, there was an easier number to multiple the equations by)

3x + 4y = 4.65

5x + 8y = 8.55

We could have multiplied (3x + 4y = 4.65) with 2, distributing and bringing it to 6x + 8y = 9.30

Then subtract 6x + 8y = 9.30 from 5x + 8y = 8.55, and you would have solved and gotten x just fine, then plugged x back in to find y)

sorry this answer is so long...good luck :))

User Robjohncox
by
7.9k points

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