Question

x+3y=10 2x+3y=21 solve using the elimination method

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

x = 11 and y = -1/3

Step-by-step explanation:

The given equations are :

x + 3y = 10      ...(1)

2x + 3y = 21    ...(2)

From equation (1), we get;

x + 3y = 10

x = 10 - 3y

Substituting x = 10 - 3y in equation (2), we get;

2x + 3y = 21

2 (10 - 3y) + 3y = 21

20 - 6y + 3y = 21

20 - 3y = 21

-3y = 21 - 20

-3y = 1

y = 1/-3

y = -1/3

Substituting the value of y in equation (1), we get;

x + 3y = 10

x + 3 (-1/3) = 10

x - 3/3 = 10

(3x - 3)/3 = 10

3x - 3 = 10 x 3

3x - 3 = 30

3x = 30 + 3

3x = 33

x = 33/3

x = 11

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