Question

Solve the following pair of linear equation by substitution method 2x-3y=19 and 3x-2y=21

Answer 1

Answer:

Y=-3

X=-25/3

Step-by-step

explanation:

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Answer 2

Answer:

2x-3y=19 --- (1)

3x-2y=21 --- (2)

Multiplying (1) by 2 & (2) by 3

.: 4x - 6y = 38 --- (3)

9x - 6y = 63 --- (4)

Subtracting (3) from (4)

9x - 6y = 63

- 4x - 6y = 38

(+) (-)

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

5x = 25

.: x = 5

Putting x = 5 in (1)

.: 2(5) - 3y = 19

.: 10 - 3y = 19

.: -3y = 19 - 10

.: -3y = 9

.: y = 9

----

-3

.: y = -3

.: (x, y) = (5, -3)

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