Question

X/4 - 3/8y = 3
5/3x - y/2 = 12
Any method is fine :)
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Answer 1

(6, - 4 )

Explanation:

`(x)/(4)` -
`(3)/(8)` y = 3

multiply through by 8 ( the LCM of 4 and 8 ) to clear the fractions

2x - 3y = 24 → (1)

`(5)/(3)` x -
`(y)/(2)` = 12

multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

10x - 3y = 72 → (2)

multiplying (1) by - 1 and adding to (2) will eliminate y

- 2x + 3y = - 24 → (3)

add (2) and (3) term by term to eliminate y

8x + 0 = 48

8x = 48 ( divide both sides by 8 )

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

- 3y = 12 ( divide both sides by - 3 )

y = - 4

solution is (6, - 4 )