4. Using the substitution method, solve each of the<br />following pairs of simultaneous equations.<br />(a) 3x-y=0

4. Using the substitution method, solve each of the<br />following pairs of simultaneous equations.<br />(a) 3x-y=0 2x+y=5​

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  1. Answer

    Wehave

    2x+y=5−−−−(1)

    and,3x−y=5−−−(2)

    Onaddingbothequationweget

    2x+y+3x−y=5+5

    ⇒5x=10

    ∴x=2

    Now,onputtingthevalueofxinequation(1),weget

    y=5−2x

    =5−2(2)

    =5−4

    =1

    Hence,thevalueofx=2andy=1.

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