Solve for x and y using elimination method : mx – ny = m2 + n2 x + y = 2m​

Question

Solve for x and y using elimination method :
mx – ny = m2 + n2
x + y = 2m​

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Margaret 4 weeks 2021-08-17T16:45:02+00:00 1 Answer 0 views 0

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    2021-08-17T16:46:02+00:00

    Answer:

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    Step-by-step explanation:

    mx – ny = m2 + n2

    ⇒  mx – ny = m2 + n2 +2mn – 2mn

    ⇒  mx – ny = (m + n)2 – 2mn  [identity a2 + 2ab +b2 = (a+b)2] → 1

    x + y = 2m  → 2

    Substituting eq. 2 in eq. 1.

    mx – ny = (m + n)2 – (x + y)n

    mx – ny = (m + n)2 – nx – ny

    Adding ny to both sides, you get:

    mx = (m + n)2 – nx

    mx + nx = (m + n)2

    x(m + n) = (m + n)2

    Dividing both sides by (m + n), you get:

    x = m + n

    Substituting x = m + 2 in eq. 1.

    (m + n) + y = 2m

    y = 2m – m – n

    y = m – n

    Therefore, x = m + 2, y = m – n

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