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Resourcee system suivant
5x-y=8
2x+y=13


Sagot :

Answer:

x = 3 , y = 7

Step-by-step explanation:

given the system of equations

5x - y = 8 → (1)

2x + y = 13 → (2)

adding (1) and (2) term by term will eliminate y

(5x + 2x ) + (- y + y ) = 8 + 13

7x + 0 = 21

7x = 21 ( divide both sides by 7 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (2)

2(3) + y = 13

6 + y = 13 ( subtract 6 from both sides )

y = 7

The solution is

x = 3 , y = 7

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