i. The given simultaneous equations are 3x – 4y = 10 …(i)
4x + 3y = 5 …(ii)
Equations (i) and (ii) are in ax + by = c form. Comparing the given equations with
a1 x + b1 y = c1 and a2 x + b2 y = c2 , we get
a1 = 3, b1 = -4, c1 = 10 and
a2 = 4, b2 = 3, c2 = 5
∴ (x, y) = (2, -1) is the solution of the given simultaneous equations.
ii. The given simultaneous equations are
4x + 3y – 4 = 0
∴ 4x + 3y = 4 …(i)
6x = 8 – 5y
∴ 6x + 5y = 8 …(ii)
Equations (i) and (ii) are in ax + by = c form. Comparing the given equations with
a1 x + b1 y = c1 and a2 x + b2 y = c2 , we get
a1 = 4, b1 = 3, c1 = 4 and
a2 = 6, b2 = 5, c2 = 8
∴ (x, y) = (-2, 4) is the solution of the given simultaneous equations.
iii. The given simultaneous equations are
x + 2y = -1 …(i)
2x – 3y = 12 …(ii)
Equations (i) and (ii) are in ax + by = c form. Comparing the given equations with
a x + b y = C and a x + b y = c , we get
a1 = 1, b1 = 2, c1 = -1 and
a2 = 2, b2 = -3, c2 = 12
∴ (x, y) = (3, -2) is the solution of the given simultaneous equations.