Solve the following systems of equation using cross multiplication method.

The given equations are
–
= – 2 … (1)
+
=
… (2)
By taking LCM,
(1) becomes 9x – 10y + 12 = 0
(2) becomes 2x + 3y – 13 = 0
For cross multiplication method, we write the coefficients as

Hence, we get
=
= ![]()
⇒
=
= ![]()
⇒
=
= ![]()
⇒ x =
= 2
⇒ y =
= 3
∴ (2, 3) is the solution to the given system.
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