Question

1. Comment on the solvability of the following systems of equations:

- 5x + y = 23 ,

17x + 8 - 3y = 0

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Answer 1

Equation 1 : ( - 5x + y = 23 )

Equation 2 : ( 17x - 3y = - 8 ) [ Rewriting the equation in the proper format ]

So let us apply the coefficient rule in this pair of equations.

So let the coefficients of x be a and a₁ and coefficients of y be b and b₁ and constants be c and c₁.

a / a₁ = - 5 / 17

b / b₁ = 1 / - 3

Since a / a₁ ≠ b / b₁, we can say that the equations can have a unique set of a single real solution.

Hence the equations will have a unique and a real solution.

Hope my answer helped !