Question

solve the following equation by the method of elimination and sublimation process : x+3y=10;2x+y=5​

Answer 1

Answer:

Step-by-step explanation:

SteP 1: x+ 3y = 10

            2x + y = 5    

SteP 2: (x+ 3y = 10) * 2

            (2x + y = 5 ) * 1

SteP 3: 2x + 6y = 20

             2x + y   = 5

              (-)   (-)      (-)

SteP 4: 5y = 15

              y = 3

SteP 5: 2x + y= 5

             2x = 5-3

x=2/2

x=1

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Answer 2

substitution,

x+3y=10

x=10-3y.........(i)

now,

2x+y=5......(ii)

putting (i) in (ii) , we get

2(10-3y)+ y=5

20-6y+ y=5

20-5y=5

20-5=5y

15/5=y

therefore,

y=3

and putting y=3 in(i)

x=10-3y

=10-3(3)

=10-9

=1