Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0

Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0

Answer Details

3x - 5y + 5 = 0 → eqn1
4x - 7y + 8 = 0 → eqn2
eqn1 * 4; 12x - 20y + 20 = 0 → eqn3
eqn2 * 3; 12x - 21y + 24 = 0 → eqn4
eqn3 - eqn4 = y - 4 = 0
∴ y = 4
From eqn1,
3x - 5y + 5 = 0
3x - 5(4) + 5 = 0
3x - 20 + 5 = 0
3x - 15 = 0
3x = 15
x = 5
x and y = 5, 4 respectively