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