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3 years ago

5x + 8y =2 4x -6y =9

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

Answer:

x = 42/31, y = -37/62

Step-by-step explanation:

5x + 8y =2

4x -6y =9

Multiply the first equation by 4

4(5x + 8y) =2*4

20x +32y = 8

Multiply this equation by -5

-5(4x -6y) =9*-5

-20x +30y = -45

Add them together

20x +32y = 8

-20x +30y = -45

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

62y = -37

Divide by 62

62y/62 = -37/62

Multiply the first equation by 3

3(5x + 8y) =2*3

15x +24y =6

And the second equation by 4

4(4x -6y) =9*4

16x -24y = 36

Add them together

15x +24y =6

16x -24y = 36

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

31x = 42

Divide by 31

31x/31 = 42/31

x = 42/31

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