Answer:
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What is the term that contains the same variables raised to the same powers
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The solution is price of 1 slice of pizza is $ 1.75 and price of 1 bottle of water is $ 1.25
<em><u>Solution:</u></em>
Let "p" be the price of 1 slice of pizza
Let "b" be the price of 1 bottle of water
Given that Abby bought two slices of pizza and three bottles of water for $7.25
<em><u>So we can frame a equation as:</u></em>
two slices of pizza x price of 1 slice of pizza + three bottles of water x price of 1 bottle of water = $ 7.25
2p + 3b = 7.25 ------- eqn 1
Cameron bought four slices of pizza and one bottle of water for $8.25
So we can frame a equation as:
four slices of pizza x price of 1 slice of pizza + one bottles of water x price of 1 bottle of water = $ 8.25
4p + 1b = 8.25 ----- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "p" and "b"
Multiply eqn 1 by 2
4p + 6b = 14.5 ----- eqn 3
Subtract eqn 2 from eqn 3
4p + 6b = 14.5
4p + 1b = 8.25
( - ) ------------------
5b = 6.25
b = 1.25
<em><u>Substitute b = 1.25 in eqn 1</u></em>
2p + 3b = 7.25
2p + 3(1.25) = 7.25
2p + 3.75 = 7.25
2p = 3.5
p = 1.75
<em><u>Summarizing the results:</u></em>
price of 1 slice of pizza = $ 1.75
price of 1 bottle of water = $ 1.25