Show that system of equations has a unique solution and solve it:
x/2 + y/2 = 3, x – 2y = 2
2x + 3y = 18 …(1)
x – 2y = 2 …(2)
a1 = 2, b1 = 3, c1 = 18
a2 = 1, b2 = – 2, c2 = 2
This system has a unique solution.
Solve the equations:
From (2), x = 2 + 2y
Substituting the value of x in (1),
2(2 + 2y) + 3y = 18
=> 4 + 4y + 3y = 18
=> 7y = 18 – 4 = 14
=> y = 2
and x = 2 + 2 x 2
= 2 + 4
= 6
Answer: x = 6 and y = 2
