collettes641 collettes641
  • 19-05-2022
  • Mathematics
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2x-y=-2 & x-2y=-16

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Sidharth999
Sidharth999 Sidharth999
  • 19-05-2022
Answer: x = 4, y = 10

Step-by-Step Explanation:

We can solve it by Substitution Method,
=> 2x - y = -2 (Eq. 1)
=> x - 2y = - 16 (Eq. 2)

Therefore, from Eq. 2 :-
=> x = -16 + 2y (Eq. 3)

Substitute value of ‘x’ in Eq. 1 :-
=> 2x - y = -2
= 2(-16 + 2y) - y = -2
= -32 + 4y - y = -2
= -32 + 3y = -2
= 3y = -2 + 32 = 30
= 3y = 30
=> y = 30/3 = 10

Therefore, y = 10

Substitute value of ‘y’ in Eq. 3 :-
=> x = -16 + 2y
= x = -16 + 2(10)
=> x = -16 + 20 = 4

Therefore, x = 4 and y = 10
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