Question

Solve the pair of simultaneous equations: 11x + 6y = 6 and 9x + 5y = 7

Answer 1

Answer :-

→ 11x + 6y = 6 -i

→ 9x + 5y = 7 -ii

Multiplying equation i by 5 :-

→ 5 ( 11x + 6y = 6 )

→ 55x + 30y = 30 -iii

Multiplying equation ii by 6 :-

→ 6 ( 9x + 5y = 7 )

→ 54x + 30y = 42 -iv

Subtracting equation iii from equation iv

→ 54x + 30y - 55x - 30y = 42 - 30

→ - x = 12

→ x = - 12

Substituting the value in equation i :-

→ 11x + 6y = 6

→ 11 × ( - 12 ) + 6y = 6

→ - 132 + 6y = 6

→ 6y = 132 + 6

→ 6y = 138

→ y = 138 / 6

→ y = 23

Value of x = -12 and y = 23