Question

Determine the equivalent system for the given system of equations:

5x + 3y = 1
4x − 5y = 4


A. 5x + 3y = 1
8x − 10y = 4

B. 5x + 3y = 1
9x − 2y = 5

C. −5x − 3y = 1
4x − 5y = 4

D. 2x + 3y = 7
9x − 2y = 4

Answer 1

A

Explanation:

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

Answer 2

Explanation:

5x+3y=1

4x-5y=4

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

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

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20x+12y=4

-20x+25y=-20

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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)

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5x+3y=1

8x-10y=4

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

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

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40x+24y=8

-40x+50y=-20

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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).

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5x+3y=1

9x-2y=5

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

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

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10x+6y=2

27x-6y=15

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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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