Két egyenes metszéspontja

Adott az e és az f egyenes. Add meg a két egyenes metszéspontjának (M) koordinátáit!

1. e: −x + y = 1
    f: x + y = 9

   M(4; 5)

   
   

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2. e: −x + y = 6
    f: 2x + y = −3

   M(−3; 3)

   
   

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3. e: 4x + y = 6
    f: −4x + y = −2

   M(1; 2)

   
   

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4. e: −x + 5 = y
    f: x + y = 1

   M(−2; 3)

   
   

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5. e: −x + y = 7
    f: 7x + 5y = 35

   M(0; 7)

   
   

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6. e: 8x + 5y = 40
    f: 2x + 5y = 10

   M(5; 0)

   
   

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7. e: x + 2y = 14
    f: −x + y = −5

   M(8; 3)

   
   

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8. e: 2x + y = −8
    f: −7x + 2y = −38

   M(2; −12)

   
   

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9. e: 8x + 5y = 90
    f: −2x + 5y = −10

   M(10; 2)

   
   

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10. e: 7x + 2y = −6
     f: −2x + y = 8

    M(−2; 4)

    
    

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11. e: −x + 2y = 10
     f: −4x + y = 12

    M(−2; 4)

    
    

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12. e: 3x + y = 23
     f: −7x + 3y = 21

    M(3; 14)

    
    

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13. e: 12x + 7y = 84
     f: −2x + 7y = −14

    M(7; 0)

    
    

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14. e: 2x + y = −8
     f: −4x + y = −2

    M(−1; 6)

    
    

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15. e: 2x + y = −3
     f: −x + y = −9

    M(2; −7)

    
    

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16. e: 2x + y = −3
     f: x + 2y = 0

    M(−2; 1)

    
    

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17. e: 3x − 2y = −4
     f: x + 2y = 12

    M(2; 5)

    
    

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18. e: x − y = −5
     f: x + 9y = 5

    M(−4; 1)

    
    

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