−4y − 3x = −11, x − 2y = 1
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Step-by-step explanation:
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Answered by
22
Answer:
x = 13/5
y = 4/5
Step-by-step explanation:
Given :
1st equation: - 4y - 3x = - 11
- We can write this as as :
⇒ - (4y + 3x) = - (11)
⇒ 4y + 3x = 11
- Rearranging the terms.
⇒ 3x + 4y = 11 ___(1)
2nd equation: x - 2y = 1
- Transposing the term.
⇒ x = 1 + 2y ___(2)
- Putting (2) in (1), we get
⇒ 3(1 + 2y) + 4y = 11
⇒ 3(1) + 3(2y) + 4y = 11
⇒ 3 + 6y + 4y = 11
⇒ 3 + 10y = 11
⇒ 10y = 11 - 3
⇒ 10y = 8
⇒ y = 8/10
⇒ y = 4/5
- Putting this value in (2).
⇒ x = 1 + 2(4/5)
⇒ x = 1 + 8/5
⇒ x = (5 + 8)/5
⇒ x = 13/5
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