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Olenka [21]
4 years ago
5

X+y=c x−y=a solve for x and y

Mathematics
1 answer:
MrRissso [65]4 years ago
7 0

Answer:

x = (c+a)/2

y = (c-a)/2

Step-by-step explanation:

Add the two equations and you get ...

(x +y) +(x -y) = (c) +(a)

2x = c+a

x = (c+a)/2

--

Subtract the second equation from the first and you get ...

(x +y) -(x -y) = (c) -(a)

2y = c-a

y = (c-a)/2

_____

Comment on this problem

This is what I call a "sum and difference" problem. The solution shown here is (obviously) the generic solution to such a problem. Remembering this can get you quickly to the answer any time you're given the sum of two unknowns and their difference.

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Natalija [7]

<em>Answer: 42 + 18b</em>

<em>Hello!</em>

<em>____________________-</em>

<em>6(7 + 3b) = </em>

<em>42 + 18b</em>

<em>Step-by-step explanation: Simplify the expression.</em>

<em>Hope this helped you!</em>

<em></em>

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Fudgin [204]

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dexar [7]

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