Solve each of the following systems of equations by the method of cross-multiplication:


Method of cross multiplication


a1x + b1y + c1 = 0


a2x + b2y + c2 = 0



Given,




Multiplying eq1 by 3 and subtracting from eq2



x – y = 1 ------- (3)


Multiplying eq2 by 2 and eq1 by 7 and adding


65/(x + y) = 13


x + y = 5 ---------- (4)


Thus,



x = 6/2 = 3 and y = 4/2 = 2


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