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I need help -x + 5y = 14, x + 3y = 18 solve by substitution

1 Answer

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Answer: x = 6, y = 4

Explanation:

=> -x + 5y = 14 (Eq. 1)
=> x + 3y = 18 (Eq. 2)

From Eq. 2,
=> x = 18 - 3y (Eq. 3)

Substitute value of ‘x’ from Eq. 3 in 1 :-

-x + 5y = 14
-(18 - 3y) + 5y = 14
-18 + 3y + 5y = 14
8y = 14 + 18 = 32
=> y = 32/8 = 4

Therefore, y = 4

Substitute value of ‘y’ in Eq. 3 :-

x = 18 - 3y
x = 18 - 3(4)
x = 18 - 12
=> x = 6

Therefore, x = 6
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