Question

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d) 5a+8b=14

4a+3b=1

Answer 1

5a+8b=14

4a+3b=1

5a=14-8b

a=(14-8b):5

4[(14-8b):5]+3b=1

4[14/5-8/5b]+3b=1

56/5-32/5b+3b=1     I*5

56-32b+15b=5

-32b+15b=5-56

-17b=-51    I:(-17)

b=3

a=(14-8*3):5

a=(14-24):5

a=(-10):5

a=-2

 

 

 

Answer 2

{5a+8b=14

{4a+3b=1

 

{5a+8b=14

{4a=1-3b/:4

 

{5a+8b=14

{a=1/4-3/4b

 

{5*(1/4-3/4b)+8b=14

{a=1/4-3/4b

 

{5/4-15/4b+8b=14

{a=1/4-3/4b

 

{1 i 1/4 - 3 i 1/4b+8b=14

{a=1/4-3/4b

 

{-3 i 1/4b + 8b=14- 1 i 1/4

{a=1/4-3/4b

 

{4 i 3/4b=12 i 3/4

{a=1/4-3/4b

 

{19/4b=51/4 /: 19/4

{a=1/4-3/4b

 

{ b= 51/4 * 4/19

{a=1/4-3/4b

 

{b=2 i 13/19

{a= 1/4- 3/4* 51/19

 

{b=2 i 13/19

{ a= 1/4 - 2 i 1/76

 

{b= 2 i 13/19

{ a=19/76 - 2 i 1/76

 

{b=2 i 13/19

{a= - 1 i 58/76