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Obtenha o conjunto das soluçoes racionais de cada sistema:
(a) {x+y=4
{x-y=1

User DonJ
by
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1 Answer

4 votes

Answer:

(5/2 , 3/2)

or

(2.5 , 1.5)

(These are the same point; just one is in fraction form and the other in decimal)

Explanation:

I could be wrong but I think you want to solve the system

x+y=4

x-y=1

The cool thing about this system it is already set up for elimination (some people call it linear combination). This means when you add the equations together, a variable will get eliminated allowing you to solve for the other.

x+y=4

x-y=1

----------Add equations.

2x+0=5

2x =5

x =5/2

x =2.5

So plug in your x into either one of the equations and solve for y.

x+y=4

2.5+y=4

y=4-2.5

y=1.5

So the solution is (2.5 , 1.5) or (5/2, 3/2).

User Pepijn Olivier
by
8.9k points