Question

solve using elimination by equating coefficient method 14x-11y=-75 and 11x-14y=-150​

Answer 1

Answer:

13x + 11y = 17 --- eqn (1)

11x + 13y = 74 ---eqn (2)

multiplying eqn(1) with 11

11 (13x + 11y) = 11 × 70

143x + 121y = 770 --- eqn (3)

multiplying eqn (2) with 13

13 ( 11 x + 13 y ) = 13 × 74

143 x + 169 y = 962 --- eqn (4)

subtracting eqn (3) from eqn (4) we get,

48 y = 192 => y = 4

now let us eliminate y.

multiplying eqn (1) with 13 then we get,

169x + 143y = 910 --- eqn (5)

multiplying eqn (2) with 11, we get,

121x + 143y = 814 --- eqn (6)

subtracting eqn (6) from eqn (5), we get

so x = 2 and y = 4 is our solution