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Solve for2x+y=74x-3y=-1USING SUBSISTUTION METHOD

Answer» The given system of equations is2x + y = 7 ... (i)4x\xa0- 3y = -1. ...(ii)From (i), we get2x + y = 7⇒ y = (7 - 2x).Substituting y = (7 - 2x) in (ii), we get4x\xa0- 3y = -1⇒ 4x - 3 (7 - 2x) = - 1⇒ 4x - 21+ 6x = -1⇒ 10x - 21 = -1⇒ 10x = - 1 + 21⇒ 10x\xa0=\xa020⇒ x = 20/10⇒ x =\xa02.Substituting x = 2 in y = (7 - 2x), we gety = (7 - 2x)⇒ y = 7 - 2(2)⇒ y = 7 - 4⇒ y = 3.Hence, the solution is x = 2, y = 3.
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