Question

Solve
31x +43y =117
43x +31y =105 ​

Answer 1

Answer: x=2

y=1

Step-by-step explanation

43x+31y=117.........1

31y+43y=105........2

1+2

(74x+74y=222)/74

x+y=3.....................3

1-2

(12x-12y=12)/12

x-y=1..........................4

3+4

2x=4

X=2

Put x in 3

y=3-2

y=1

Answer 2

Answer:

x = 1, y = 2

Step-by-step explanation:

31x + 43y = 117 - - - (1)

43x + 31y = 105 - - - (2)

multiply (1) by 43 and (2) by 31 [LCM(43, 31) = 1333]

Therefore,

1333x + 1849y = 5031 - - - (3)

1333x + 961y = 3255 - - - (4)

subtract (4) from (3)

888y = 1776

y = 1776 / 888 = 2

solve y = 2 in (2)

43x + 31 (2) = 105

43x + 62 = 105

43x = 105 - 62

x = 43 / 43 = 1

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