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NeTakaya
3 years ago
6

Determine the equivalent system for the given system of equations:

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Because the first one is the same then you mutely by 2

Volgvan3 years ago
6 0

Answer:

Step-by-step explanation:

5x+3y=1

4x-5y=4

--------------

4(5x+3y)=4(1)

-5(4x-5y)=-5(4)

----------------------

20x+12y=4

-20x+25y=-20

----------------------

37y=-16

y=-16/37

5x+3(-16/37)=1

5x-48/37=1

5x=1+48/37

5x=37/37+48/37

5x=85/37

x=(85/37)/5

x=(85/37)(1/5)

x=85/185

x=17/37

Answer: x=17/37, y=-16/37. (17/37, -16/37)

-----------------------------

5x+3y=1

8x-10y=4

-----------------

8(5x+3y)=8(1)

-5(8x-10y)=-5(4)

----------------------

40x+24y=8

-40x+50y=-20

----------------------

75y=-12

y=-12/75=-4/25

5x+3(-4/25)=1

5x-12/25=1

5x=1+12/25

5x=25/25+12/25

5x=37/25

x=(37/25)/5

x=(37/25)(1/5)

x=37/125

Answer: x=37/125, y=-4/25. (37/125, -4/25).

-------------------------------

5x+3y=1

9x-2y=5

---------------

2(5x+3y)=2(1)

3(9x-2y)=3(5)

---------------------

10x+6y=2

27x-6y=15

---------------

37x=17

x=17/37

5(17/37)+3y=1

85/37+3y=1

3y=1-85/37

3y=37/37-85/37

3y=-48/37

y=(-48/37)/3

y=(-48/37)(1/3)

y=-48/111

Answer: x=17/37, y=-48/111. (17/37, -48/111).

--------------

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