Question

Is (-5, -9) a solution to this system of equations `18x-12y=18, 11x-6y=-1`?

Answer 1

Yes , `(-5,-9)` is a solution of both the equations.

Explanation:

Putting `x=-5 and y=-9` in equation (1), `18x-12y=18` we get LHS=`18*(-5)-12*(-9)= -90+108= 18 :.`LHS=RHS. So `(-5,-9)` is a solution.

Putting `x=-5 and y=-9` in equation (2), `11x-6y=-1` we get LHS=`11*(-5)-6*(-9)= -55+54= -1 :.`LHS=RHS. So `(-5,-9)` is a solution.

Yes , `(-5,-9)` is a solution of both the equations.[Ans]