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Four slices of cheesecake and one slice of pie costs $18. Seven slices of cheesecake and three slices of pie costs $34. How much does one slice of cheesecake cost?
Let: x = slice of cheesecake, y = slice of pie First equation = 4x + y = 18 Second equation = 7x + 3y = 34 Use first equation to find y: 4x + y = 18 y = 18 - 4x Subtitute y to the second equation to find x: 7x + 3y = 34 7x + 3(18 - 4x) = 34 7x + 54 - 12x = 34 7x - 12x = 34 - 54 -5x = - 20 x = - 20/-5 x = 4 $4 is the cost of one slice of cheesecake.
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Asked 4/9/2019 8:54:02 AM
Updated 94 days ago|7/28/2020 9:44:51 AM
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Let: x = slice of cheesecake, y = slice of pie
First equation = 4x + y = 18
Second equation = 7x + 3y = 34
Use first equation to find y:
4x + y = 18
y = 18 - 4x
Subtitute y to the second equation to find x:
7x + 3y = 34
7x + 3(18 - 4x) = 34
7x + 54 - 12x = 34
7x - 12x = 34 - 54
-5x = - 20
x = - 20/-5
x = 4
$4 is the cost of one slice of cheesecake.
Added 94 days ago|7/28/2020 9:44:51 AM
This answer has been confirmed as correct and helpful.
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