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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.

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]

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Answer 2

Hazel Anglin

To determine if (-5, -9) is a solution to the system of equations: [ 18x - 12y = 18 ] [ 11x - 6y = -1 ] Plug in the values of x and y: [ 18(-5) - 12(-9) = 18 ] [ 11(-5) - 6(-9) = -1 ] [ -90 + 108 = 18 ] [ -55 + 54 = -1 ] [ 18 = 18 ] [ -1 = -1 ] The values satisfy both equations, so (-5, -9) is a solution to the system of equations.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.